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 43E
To determine

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

Expert Solution

Answer to Problem 43E

  1<x<4

Explanation of Solution

Given:

Non-linear inequality equation

  3x23x<2x2+4

Calculation,

Non-linear inequality equation,

  3x23x<2x2+43x22x23x4>0x23x4>0x2(41)x4>0x24x+x4>0x(x4)+1(x4)>0(x+1)(x4)>0Now,(x+1)>0x>1and(x4)>0x<4so,1<x<4

Now, graph of 3x23x<2x2+4

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.7, Problem 43E

Conclusion:

Hence, the values of x lies between the -1 and 4.

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