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Chapter 2: Q 307 (page 183)

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

  1. g-1112<-518
  2. 7s<-28
  3. 94g鈮�36

Short Answer

Expert verified

(a) The solution interval for inequality (a) is -鈭�,2336and representation on number line is :-

(b) The solution interval for inequality (b) is -鈭�,-4and representation on number line is :-

(c) The solution interval for inequality (c) is (-鈭�,16]and representation on number line is :-

Step by step solution

01

Step 1. Part (a) Given and Solution

We have given the following inequality :-

g-1112<-518

Now to solve this inequality add 1112on both sides, then we have :-

g-1112+1112<-518+1112鈬�g<2336

So solution interval is -鈭�,2336.

Representation of solution on number line is as following :-

02

Step 2. Part (b) Given and Solution

Here we have given the following inequality :-

7s<-28

To solve the inequality divide both sides by 7, then we have :-

7s7<-287鈬�s<-4

So the solution interval is -鈭�,-4.

Representation of solution on number line is as following :-

03

Step 3. Part (c) Given and Information

Now we have following inequality :-

94g鈮�36

To solve this inequality multiply both sides by 49, then we have :-

94g脳49鈮�36脳49鈬�g鈮�16

So the solution interval is (-鈭�,16].

Representation of solution on number line is as following :-

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