Chapter 4: Q. 20 (page 241)

Solve the inequality algebraically
$(x - 5)^{2} (x + 2) > 0$

Short Answer

Expert verified

Required solution set is $(- 2, 5) \cup (5, \infty)$ .

Step by step solution

Step 1. Given information

We are given an inequality,

$(x - 5)^{2} (x + 2) > 0$

Step 2.Finding the zeros

The zeros of inequality $(x - 5)^{2} (x + 2) > 0$ are,

$5$ and $- 2$

So, the intervals will be,

role="math" localid="1646300391442" $(- \infty, - 2), (- 2, 5) and (5, \infty)$

Step 4. Selecting a test number in each interval

The table is as follows,

Hence the solution set is $(- 2, 5) \cup (5, \infty)$ .

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Solve the inequality algebraically
$(x - 5)^{2} (x + 2) > 0$

Short Answer

Step by step solution

Step 1. Given information

Step 2.Finding the zeros

Step 4. Selecting a test number in each interval

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Solve the inequality algebraically(x-5)2(x+2)>0

Short Answer

Step by step solution

Step 1. Given information

Step 2.Finding the zeros

Step 4. Selecting a test number in each interval

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve the inequality algebraically
$(x - 5)^{2} (x + 2) > 0$