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Chapter 2: Q 311 (page 183)

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

  1. -7d>105
  2. -18>q-6

Short Answer

Expert verified

(a)The solution interval for inequality (a) is -鈭�,-15and representation of solution on number line is :-

(b)The solution interval for inequality (b) is108,鈭� and representation on number line is :-

Step by step solution

01

Step 1. Part (a) Given and Solution

We have given the following equation :-

-7d>105

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

-7d-7<105-7鈬�d<-15

So the solution interval is -鈭�,-15.

Representation of solution on number line is as following :-

02

Step 2. Part (b) Given and Solution

Here we have given the following inequality :-

-18>q-6

To solve the inequality multiply both sides by -6, then we have :-

-18脳-6<q-6脳-6鈬�108<qorq>108

So solution interval is 108,鈭�.

Representation of solution on number line is as following :-

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