3.4 Solve Rational Equations and Inequalities

📖 Chapter 3 Rational Functions
📄 Page 177
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56
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2
Textbook Page
177
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12

advfnsmcgrawCh3.4lectureTube

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1

001. A first example of Rational Equation

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002. Rational Inequality ex1

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003. Rational Inequality ex2

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004. Rational Inequality ex3

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005. Rational Inequality ex4

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advfnsmcgrawCh3.4solutions

51 videos

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1

001. Q1a

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Answer
📚 Related Lectures
ADVFUN, Rational Functions, Deg1/Deg1, sketch
🎓 001. Sketching deg1/deg1 rational
⏱️ 0:170🎬 Z6KmwUbL8V8
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001. Q1b

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Answer
📚 Related Lectures
ADVFUN, Rational Functions, Deg2/Deg2, sketch
🎓 001. Sketching deg2 over deg 2 rational function
⏱️ 0:210🎬 map746rGgvA
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001. Q1c

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Answer
📚 Related Lectures
ADVFUN, Rational Functions, Deg1/Deg1, sketch
🎓 001. Sketching deg1/deg1 rational
⏱️ 0:120🎬 P90SzjxVOgQ
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001. Q1d

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Answer
📚 Related Lectures
ADVFUN, Rational Functions, Deg1/Deg2, sketch
🎓 001. Sketching deg1 over deg2
🎓 002. Sketching Deg1 over deg2 with a hole
⏱️ 0:120🎬 d_mnf-eF-ms
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5

002. Q2a

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Answer
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given a/linear=b, solve
🎓 001. Simple Rationa, convert to Linear to solve
⏱️ 0:350🎬 aeEqRXYwiWM
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002. Q2b

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Answer
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.a/poly=b, solve
🎓 001. 1/power function, solve
⏱️ 0:510🎬 29e_fFegk_8
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002. Q2c

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Answer
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.a/linear=b/linear, solve
🎓 001. Rational Equation, solve by Cross multiplication to linear
⏱️ 0:440🎬 oATCjRsbTUk
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002. Q2d

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Answer
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.x+a/x=b
🎓 001. Given linear+reciprocal+c=0, solve
⏱️ 0:320🎬 PvkOVH5LsoQ
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002. Q2e

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Answer
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.a/b=c/d, cross.mult.to.quad, solve
🎓 001. Rational Equation deg1 = deg1
⏱️ 0:420🎬 YXgALnlZ3Po
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002. Q2f

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Answer
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.a/b=c/d, cross.mult.to.quad, solve
🎓 001. Rational Equation deg1 = deg1
⏱️ 1:100🎬 RioBS4hNAxY
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004. Q4a

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Answer
📚 Related Lectures
Advanced Functions, Rational Functions, Inequalities, reduce to degree1/degree1, solve
🎓 002. Sum of Two 1/deg1
🎓 001. Introduction to solving deg1/deg1 inequality
⏱️ 1:400🎬 qVGMa_Q-K9M
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004. Q4b

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Answer
📚 Related Lectures
Advanced Functions, Rational Functions, Inequalities, reduce to degree1/degree1, solve
🎓 002. Sum of Two 1/deg1
🎓 001. Introduction to solving deg1/deg1 inequality
⏱️ 1:080🎬 dJrxXUK1--o
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13

004. Q4c

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Answer
📚 Related Lectures
Advanced Functions, Rational Inequalities, reduce to deg1/deg2, solve
🎓 001. Solving Rational inequality, given.a/linear>b/linear, solve.deg1/deg2
⏱️ 2:110🎬 3s_1NuGOD9w
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14

004. Q4d

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Answer
📚 Related Lectures
Advanced Functions, Rational Functions, Inequalities, reduce to degree1/degree1, solve
🎓 002. Sum of Two 1/deg1
🎓 001. Introduction to solving deg1/deg1 inequality
⏱️ 1:270🎬 wI8DV5d3Bj4
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004. Q4e

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Answer
📚 Related Lectures
Advanced Functions, Rational Functions, Inequalities, reduce to degree1/degree1, solve
🎓 002. Sum of Two 1/deg1
🎓 001. Introduction to solving deg1/deg1 inequality
⏱️ 1:190🎬 -NgqabxuTpM
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16

004. Q4f

Question
Answer
📚 Related Lectures
Advanced Functions, Rational Inequalities, reduce to deg1/deg2, solve
🎓 001. Solving Rational inequality, given.a/linear>b/linear, solve.deg1/deg2
⏱️ 2:020🎬 a3wdT2sK3WA
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005. Q5a

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Answer
📚 Related Lectures
Advanced Functions, Rational Functions, Inequalities, reduce to degree1/degree1, solve
🎓 002. Sum of Two 1/deg1
🎓 001. Introduction to solving deg1/deg1 inequality
⏱️ 3:040🎬 ecHIcHog4II
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005. Q5b

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Answer
📚 Related Lectures
Advanced Functions, Rational Functions, Inequalities, reduce to degree1/degree1, solve
🎓 002. Sum of Two 1/deg1
🎓 001. Introduction to solving deg1/deg1 inequality
⏱️ 1:410🎬 KqQlWTDSS5M
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005. Q5c

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Answer
📚 Related Lectures
Advanced Functions, Rational Functions, Inequalities, reduce to degree1/degree1, solve
🎓 002. Sum of Two 1/deg1
🎓 001. Introduction to solving deg1/deg1 inequality
⏱️ 1:440🎬 CW1HDIqivhc
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005. Q5d

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Answer
📚 Related Lectures
Advanced Functions, Rational Functions, Inequalities, reduce to degree1/degree1, solve
🎓 002. Sum of Two 1/deg1
🎓 001. Introduction to solving deg1/deg1 inequality
⏱️ 2:040🎬 V2-9xUFWu2M
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006. Q6

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007. Q7

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Answer
📚 Related Lectures
Advanced Functions, Rational Inequalities, reduce to deg1/deg2, solve
🎓 001. Solving Rational inequality, given.a/linear>b/linear, solve.deg1/deg2
⏱️ 5:220🎬 G9aa6DBep48
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008. Q8

Question
Answer
📚 Related Lectures
Advanced Functions, Rational Inequalities, reduce to deg1/deg2, solve
🎓 001. Solving Rational inequality, given.a/linear>b/linear, solve.deg1/deg2
⏱️ 2:190🎬 PQsKrJTjufg
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009. Q9a

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Answer
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given a/linear=b, solve
🎓 001. Simple Rationa, convert to Linear to solve
⏱️ 0:300🎬 CcmPLFM_cFg
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009. Q9b

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Answer
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.sum.of.a/linear=b, solve
🎓 001. Solving sum of simple
⏱️ 1:430🎬 NXRMu6BILjo
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009. Q9c

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Answer
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.x+a/x=b
🎓 001. Given linear+reciprocal+c=0, solve
⏱️ 0:310🎬 pdGZguccJG8
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27

009. Q9d

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Answer
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.sum.of.linear/linear=a, solve
🎓 001. Rational Equation sum of linear over
⏱️ 1:210🎬 yCMSHz1zOt8
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009. Q9e

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Answer
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.sum.of.linear/linear=a, solve
🎓 001. Rational Equation sum of linear over
⏱️ 2:540🎬 fxc445dZYSk
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29

009. Q9f

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Answer
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.sum.of.a/linear=b, solve
🎓 001. Solving sum of simple
⏱️ 2:240🎬 3uDqLlrB2PU
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30

010. Q10a

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Answer
📚 Related Lectures
Advanced Functions, Rational Functions, Inequalities, reduce to degree1/degree1, solve
🎓 002. Sum of Two 1/deg1
🎓 001. Introduction to solving deg1/deg1 inequality
⏱️ 1:200🎬 jApLIIzlY8Y
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31

010. Q10b

Question
Answer
📚 Related Lectures
Advanced Functions, Rational Functions, Inequalities, reduce to degree1/degree1, solve
🎓 002. Sum of Two 1/deg1
🎓 001. Introduction to solving deg1/deg1 inequality
⏱️ 1:120🎬 98AvZktXP6M
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32

010. Q10c

Question
Answer
📚 Related Lectures
Advanced Functions, Rational Functions, Inequalities, reduce to degree1/degree1, solve
🎓 002. Sum of Two 1/deg1
🎓 001. Introduction to solving deg1/deg1 inequality
⏱️ 1:440🎬 GxQBdRVH9XY
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33

010. Q10d

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Answer
📚 Related Lectures
Advanced Functions, Rational Functions, Inequalities, reduce to degree1/degree1, solve
🎓 002. Sum of Two 1/deg1
🎓 001. Introduction to solving deg1/deg1 inequality
⏱️ 1:480🎬 ClS-Cl3MEUw
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011. Q11

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Answer
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012. Q12

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Answer
📚 Related Lectures
Advanced Functions, Rational Inequalities, reduce to deg1/deg2, solve
🎓 001. Solving Rational inequality, given.a/linear>b/linear, solve.deg1/deg2
⏱️ 3:240🎬 TVfVTDVtX_k
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013. Q13

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Answer
📚 Related Lectures
Advanced Functions, Rational Inequalities, reduce to deg1/deg2, solve
🎓 001. Solving Rational inequality, given.a/linear>b/linear, solve.deg1/deg2
⏱️ 3:490🎬 BfeLBZHT7Bo
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014. Q14a

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Answer
📚 Related Lectures
12.2.1 MODELLING RATIONAL FUNCTIONS, given.deg1/deg1, solve
🎓 001. deg1 over deg1 word problem
⏱️ 0:240🎬 CKSaFdYCCps
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014. Q14b

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014. Q14c

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Answer
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016. Q16

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Answer
📚 Related Lectures
Advanced Functions, Rational Functions, Inequalities, reduce to degree1/degree1, solve
🎓 002. Sum of Two 1/deg1
🎓 001. Introduction to solving deg1/deg1 inequality
⏱️ 1:450🎬 v4v_0UMxRN0
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017. Q17a

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017. Q17bcd

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018. Q18a

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018. Q18b

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Answer
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019. Q19a

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Answer
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.a/b=c/d, cross.mult.to.quad, solve
🎓 001. Rational Equation deg1 = deg1
⏱️ 2:160🎬 dYHv78XmIk0
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019. Q19b

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Answer
⏱️ 1:330🎬 e3qh4S6vaIE
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020. Q20a

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Answer
📚 Related Lectures
Advanced Functions, Rational Functions, Inequalities, reduce to degree1/degree1, solve
🎓 002. Sum of Two 1/deg1
🎓 001. Introduction to solving deg1/deg1 inequality
⏱️ 0:370🎬 PTbUzp1klcY
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48

020. Q20b

Question
Answer
📚 Related Lectures
Advanced Functions, Rational Functions, Inequalities, reduce to degree1/degree1, solve
🎓 002. Sum of Two 1/deg1
🎓 001. Introduction to solving deg1/deg1 inequality
⏱️ 1:130🎬 gWrwrIJFTjc
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49

021. Q21a

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Answer
📚 Related Lectures
INTEGRAL CALCULUS 2.1, Integration Techniques, given.Rational, decompose.partial.fractions
🎓 001. Decomposition of Rational, deg1 over deg2
⏱️ 1:400🎬 3g0gJN0k5js
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021. Q21b

Question
Answer
📚 Related Lectures
INTEGRAL CALCULUS 2.1, Integration Techniques, given.Rational, decompose.partial.fractions
🎓 001. Decomposition of Rational, deg1 over deg2
⏱️ 2:070🎬 KXXsW1zPUuA
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021. Q21c

Question
Answer
📚 Related Lectures
INTEGRAL CALCULUS 2.1, Integration Techniques, given.Rational, decompose.partial.fractions
🎓 001. Decomposition of Rational, deg1 over deg2
⏱️ 4:100🎬 DUXNTgznbeY
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