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Chapter 4: Q. 11 (page 241)

Solve the inequality by using the graph of the function.

Solve f(x)≥0, where

f(x)=(x+4)(x-2)2

Short Answer

Expert verified

The solution of the inequality is [-4,∞).

Step by step solution

01

Step 1. Given Information 

We are given a function,

f(x)=(x+4)(x-2)2

02

Step 2. Graphing the function  

The graph of the function is as follows,

03

Step 3. Solve the inequality  

As seen from the graph, f(x)≥0for [-4,∞).

Hence the solution of the inequality is [-4,∞).

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