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Chapter 4: Q. 14 (page 241)

Solve the inequality by using the graph of the function.

Solve f(x)<0, where

role="math" localid="1646231564659" f(x)=-12(x+4)(x-1)3

Short Answer

Expert verified

The solution of the inequality is (-鈭�,-4)鈭�(1,鈭�).

Step by step solution

01

Step 1. Given Information 

We are given a function,

f(x)=-12(x+4)(x-1)3

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 the interval (-鈭�,-4)鈭�(1,鈭�).

Hence the solution is (-鈭�,-4)鈭�(1,鈭�).

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