BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.7, Problem 40E
To determine

The solution of given nonlinear inequality equation and plot a graph for it.

Expert Solution

Answer to Problem 40E

  3<x<2

Explanation of Solution

Given:

Non-linear inequality equation

  x2+5x+6>0

Calculation,

Non-linear inequality equation,

  x2+5x+6>0x2+(3+2)x+6>0x2+3x+2x+6>0x(x+3)+2(x+3)>0(x+3)(x+2)>0Now,(x+3)>0x>3and,(x+2)<0x<2so,3<x<2

Now, graph of x2+5x+6>0

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.7, Problem 40E

Conclusion:

Hence, the values of x lies between the -3 and -2.

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