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Chapter 4: Q. 20 (page 241)

Solve the inequality algebraically

(x-5)2(x+2)>0

Short Answer

Expert verified

Required solution set is (-2,5)鈭�(5,鈭�).

Step by step solution

01

Step 1. Given information  

We are given an inequality,

(x-5)2(x+2)>0

02

Step 2.Finding the zeros   

The zeros of inequality (x-5)2(x+2)>0are,

5and-2

So, the intervals will be,

role="math" localid="1646300391442" (-鈭�,-2),(-2,5)and(5,鈭�)

03

Step 4. Selecting a test number in each interval  

The table is as follows,

Hence the solution set is (-2,5)鈭�(5,鈭�).

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Most popular questions from this chapter

In Problems 39鈥�56, find the real zeros of f. Use the real zeros to factor f.

f(x)=2x4+11x3-5x2-43x+35

Solve each inequality algebraically.

x-3x+1>0

Solve the inequality algebraically

(x-1)(x-2)(x-3)鈮�0

Analyze each polynomial function using Steps 1through 8:

f(x)=x4+x3-3x2-x+2.

In Problems 13鈥�24, find the domain of each rational function.

R(x)=3(x2-x-6)4(x2-9)
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