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Chapter 2: Q 602. (page 220)

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

2x+3鈮�0or3x+4鈮�6

Short Answer

Expert verified

Solution of the inequality 2x+3鈮�0is x鈮�-3

Solution of the inequality 3x+4鈮�6is x鈮�-2

Solution of the compound inequality is -鈭�,鈭�-鈭�,鈭�

Graph is as follows:

Step by step solution

01

Step 1. Given information

Compound inequality is2x+3鈮�0or3x+4鈮�6

02

Step 2. Solution of the compound inequality.

Consider the inequality x+3鈮�0x+3鈮�0x鈮�-3

Consider the inequality 3x+4鈮�6

3x+12鈮�63x鈮�-6x鈮�-2

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

03

Step 3. Graph of the solution. 

Graph is as follows:

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