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 44E
To determine

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

Expert Solution

Answer to Problem 44E

  2x0.5

Explanation of Solution

Given:

Non-linear inequality equation

  5x2+3x3x2+2

Calculation,

Non-linear inequality equation,

  5x2+3x3x2+25x23x2+3x202x2+3x202x2+(41)x202x2+4xx202x(x+2)1(x+2)0(2x1)(x+2)0Now,2x102x1x12x0.5and,x+20x2so,2x0.5

Now, graph of 5x2+3x3x2+2

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.7, Problem 44E

Conclusion:

Hence, the values of x lies between the -2 and 0.5.

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