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Chapter 2: Q. 390 (page 195)

Solve each inequality, graph the

solution, and write the solution in interval notation.

12(3x鈭�4)鈮�1and13(x+6)鈮�4

Short Answer

Expert verified

Solution of each inequalities:

x鈮�2andx鈮�6

Graph the numbers that make both inequalities true:

Solution in interval notation:

(-鈭�,2]

Step by step solution

01

Step 1. Given information 

Consider the inequalities

12(3x鈭�4)鈮�1and13(x+6)鈮�4

02

Step 2. Solve each inequality  

12(3x鈭�4)鈮�13x-4鈮�1脳23x-4鈮�23x鈮�2+43x鈮�6x鈮�63x鈮�2and13(x+6)鈮�4x+6鈮�4脳3x+6鈮�12x鈮�12-6x鈮�6

03

Step 3. Graph each solution of inequality

Forx鈮�2

Forx鈮�6

04

Step 4. Graph the numbers that make both inequalities true.x≤2 and x≤6

05

Step 5. Write the solution in interval notation.

(-鈭�,2]

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