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Chapter 2: Q 297 (page 183)

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

  1. x>3
  2. x鈮�-0.5
  3. x鈮�13

Short Answer

Expert verified

The interval notation for (a) is 3,鈭�and representation on number line is :-

The interval notation for (b) is (-鈭�,-0.5]and representation on number line is :-

The interval notation for (c) is [13,鈭�)and representation on number line is :-

Step by step solution

01

Step 1. Part (a)

Here we have given the following inequality :-

x>3

That is solution of this inequality is every value greater than 3.

So the interval notation for solution is 3,鈭�.

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

02

Step 2. Part (b)

Here we have given the following inequality :-

x鈮�-0.5

That is solution of this inequality is every value less than or equal to -0.5
.

So interval notation for solution is (-鈭�,-0.5].

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

03

Step 3. Part (c)

Here we have given the following inequality :-

x鈮�13.

That is solution of this inequality is every value greater than or equal to13.
So interval notation for solution is [13,鈭�).

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

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