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Chapter 2: Q. 392 (page 195)

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

5x鈭�2鈮�3x+4and3x鈭�4鈮�2x+1

Short Answer

Expert verified

Solution of each inequalities:

x鈮�3andx鈮�5

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

5x鈭�2鈮�3x+4and3x鈭�4鈮�2x+1

02

Step 2. Solve each inequality 

5x鈭�2鈮�3x+45x-3x鈮�4+22x鈮�6x鈮�3and3x鈭�4鈮�2x+13x-2x鈮�1+4x鈮�5

03

Step 3. Graph each solution

Forx鈮�3

Forx鈮�5

04

Step 4. Graph the numbers that make both inequalities true.x≤3 and x≥5

There are no numbers that make both inequalities true.

This is a contradiction so there is no solution.

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