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Chapter 2: Q. 393 (page 195)

Solve each inequality, graph the solution, and write the solution in interval notation.

34x鈭�5鈮�鈭�2and鈭�3(x+1)鈮�6

Short Answer

Expert verified

Solution of each inequalities:

x鈮�4andx鈮�-3

Graph the numbers that make both inequalities true:

There is no solution for given inequality system.

Step by step solution

01

Step 1. Given information

Consider the inequalities

34x鈭�5鈮�鈭�2and鈭�3(x+1)鈮�6

02

Step 2. Solve each inequality

34x鈭�5鈮�鈭�234x鈮�-2+534x鈮�3x鈮�3脳43x鈮�4 and鈭�3(x+1)鈮�6x+1鈮�6-3x+1鈮�-2x鈮�-2-1x鈮�-3

03

Step 3. Graph each solution

Forx鈮�4

Forx鈮�-3

04

Step 4. Graph the numbers that make both inequalities true.x≥4 and x≤-3

There are no numbers that make both inequalities true.

This is a contradiction so there is no solution.

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