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Chapter 2: Q 603. (page 220)

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

12x-3鈮�4or13x-6鈮�-2

Short Answer

Expert verified

Solution of the inequality 12x-3鈮�4is x鈮�14

Solution of the inequality 13x-6鈮�-2is x鈮�0

Solution of the compound inequality in interval notation is -鈭�,鈭�

Graph is as follows:

Step by step solution

01

Step 1. Given information

Compound inequality is12x-3鈮�4or13x-6鈮�-2

02

Step 2. Solution of the compound inequality.

Consider the inequality 12x鈮�712x-3鈮�4

12x鈮�7x鈮�14

Consider the inequality x-6鈮�-613x-6鈮�-2

x-6鈮�-6x鈮�0

So, solution of the compound inequality is-鈭�,鈭�

03

Step 3. Graph of the solution

Graph of the solution is as follows:

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