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Chapter 3: Q. 3 (page 171)

In problems 3-6, use the figure to solve each inequality.

a) f(x)>0

b)f(x)鈮�0

Short Answer

Expert verified

a)(-鈭�,-2)or(2,鈭�)

b)[-2,2]

Step by step solution

01

Part (a) Step 1. Given Information

It is given that, f(x)>0and the graph is,

02

Part (a) Step 2. Observe the graph

  • From the graph, it is observed that the value of yor f(x)is positive for role="math" localid="1646049546322" x<-2or x>2.
  • In set builder form, for f(x)>0, x|x<-2orx>2. Also, in interval notation it is denoted as(-鈭�,-2)or(2,鈭�).
03

Part (b) Step 1. Given Information

It is given that, f(x)鈮�0and the graph is,

04

Part (b) Step 2. Observe the graph 

  • From the graph, it is observed that the value of y=f(x)is negative or equal to 0 for -2鈮�x鈮�2.
  • In set builder form, for f(x)鈮�0, {x|-2鈮�x鈮�2}. Also, in interval notation it is denoted as [-2,2].

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