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Chapter 2: Q 301 (page 183)

In the following exercises, graph each inequality on the number line and write in interval notation.

  1. -2<x<0
  2. -5鈮�x<-3
  3. 0鈮�x鈮�3.5

Short Answer

Expert verified

(a)The solution interval for inequality (a) is -2,0and representation on number line is :-

(b) The solution interval for inequality (b) is [-5,-3)and representation on number line is :-

(c) The solution interval for inequality (c) is0,3.5and representation on number line is :-

Step by step solution

01

Step 1. Part (a) Given and Solution

We have given the following inequality :-

-2<x<0.

Every value greater than -2 and less than 0 is the solution of this inequality. So the solution interval is -2,0.

Representation of solution on number line is as following :-

02

Step 2. Part (b) Given and Solution

Here we have given the following inequality :-

-5鈮�x<-3.

Every value greater than or equals to -5 and less than -3 is the solution of this inequality.

So the solution interval is [-5,-3).

Representation of solution on number line is as following :-

03

Step 3. Part (c) Given and Solution

Now we have following inequality :-

0鈮�x鈮�3.5.

Every value greater than or equals to 0 and less than or equals to 3.5 is the solution of this inequality.

So solution interval is 0,3.5.

Representation of solution on number line is as following :-

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