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Chapter 2: Q 299 (page 183)

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

  1. x鈮�5.
  2. x鈮�-1.5
  3. x<-73

Short Answer

Expert verified

The solution interval for inequality (a) is (-鈭�,5]and representation on number line is :-

The solution interval for inequality (b) is [-1.5,鈭�)and representation on number line is :-

The solution interval for inequality (c) is -鈭�,-73and representation on number line is :-

Step by step solution

01

Step 1. Part (a)

Here we have the following inequality :-

x鈮�5.

The every value less than or equal to the 5 is the solution of this inequality.

Then the solution interval is (-鈭�,5].

The representation of this inequality on number line is as following :-

02

Step 2. Part (b)

Here we have given the following inequality :-

x鈮�-1.5.

So every value greater than or equals to -1.5is the solution of this inequality.

Then the solution interval is [-1.5,鈭�).

Representation of this inequality on number line is as following :-

03

Step 3. Part (c)

Here we have given the following inequality :-

x<-73.

The every value less than -73is the solution of this inequality.

Then the solution interval is -鈭�,-73.

Representation of this inequality on number line is as following :-

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