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Chapter 2: Q.383. (page 195)

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

4x-2鈮�4and7x-1>-8

Short Answer

Expert verified

The Graph of Solution is

Thenumberthatmakebothinequalitiestrueis-1<x鈮�32IntervalNotation:(-1,32]

Step by step solution

01

Step 1.Given information

4x-2鈮�4and7x-1>-8

02

Step 2.Solve Each Inequalities

4x-2鈮�44x-2+2鈮�4+2鈬�4x鈮�6鈬�4x4鈮�64鈬�x鈮�32and7x-1>-8鈬�7x-1+1>-8+1鈬�7x>-7鈬�7x7>-77鈬�x>-1

03

Step 3.Graph Each Solution

Graph of4x-2鈮�4

Graph of7x-1>-8

04

Step 4. Merge The  Graph of Each Solution

05

Step 5.Interval Notation

Thenumberthatmakebothinequalitiestrueis-1<x鈮�32IntervalNotation:(-1,32]

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Solve the inequality, graph the solution on the number line and write the solution in the interval notation.

4k-k-2鈮�7k-26
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