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Chapter 2: Q 310 (page 183)

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

  1. -9c<126
  2. -25<p-5

Short Answer

Expert verified

(a) The solution interval for inequality (a) is -14,鈭�and representation on number line is :-

(b) The solution interval for inequality (b) is -鈭�,125and representation on number line is :-

Step by step solution

01

Step 1. Part (a) Given and Solution

We have given the following inequality :-

-9c<126.

To solve the inequality divide both sides by -9, then we have :-

-9c-9>126-9c>-14

So the solution interval is -14,鈭�.

Representation of solution on number line is as following :-

02

Step 2. Part (b) Given and solution

Here we have given the following inequality :-

-25<p-5.

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

-25脳-5>p-5脳-5鈬�-125>porp<-125

So the solution interval is -鈭�,-125.

Representation of solution on number line is as following :-

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