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Chapter 2: Q 308 (page 183)

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

  1. -5u鈮�65
  2. localid="1644754409554" a-3鈮�9

Short Answer

Expert verified

(a) The solution interval for inequality (a) is (-鈭�,-13]and representation on number line is :-

(b)The solution interval for inequality (b) is [-27,鈭�)and representation on number line is :-

Step by step solution

01

Step 1. Part (a) Given and solution

We have given the following inequality :-

-5u鈮�65.

To solve this inequality multiply both sides by -5, then we have :-

-5u-5鈮�65-5鈬�u鈮�-13

Then solution interval for this inequality is (-鈭�,-13].

Representation of solution on number line is as following :-

02

Step 2. Part (b) Given and Solution

We have given the following inequality :-

a-3鈮�9

To solve the inequality multiply both sides by -3, then we have :-

a-3*-3鈮�9*-3a鈮�-27

So the solution interval is [-27,鈭�).

Representation of solution on number line is as following :-

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