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Chapter 9: Q. 545 (page 988)

In the following exercises, solve each inequality algebraically and write any solution in interval notation.

2x2+x-10>0

Short Answer

Expert verified

The required solution is-鈭�鈥�,鈥�-52鈭�2,鈥�鈭�鈥�.

Step by step solution

01

Step 1. Given information.

We have:

2x2+x-10>鈥�0

02

Step 2. Factor the expression.

Break the expression:

2x2-4x+5x-10>0

Factor out the common term:

=2xx-2+5x-2

Factor out common term x-2:

x-22x+5>0

Identify the intervals:

x<-52or鈥�x>2

Interval notation:-鈭�鈥�,鈥�-52鈭�2,鈥�鈭�鈥�

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