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Chapter 2: Q.381. (page 195)

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

4x-1<7and2x+8鈮�4

Short Answer

Expert verified

The Graph of Each Solution


Thenumberthatmakebothinequalitiestrueis-2鈮�x<2IntervalNotation:[-2,2)

Step by step solution

01

Step 1. Given information

4x-1<7and2x+8鈮�4

02

Step 2. Solve Each Inequalities

4x-1<7鈬�4x-1+1<7+1鈬�4x<8鈬�4x4<84鈬�x<22x+8鈮�4鈬�2x+8-8鈮�4-8鈬�2x鈮�-4鈬�2x2鈮�-42鈬�x鈮�-2

03

Step 3.Graph Each Solution

Graph of 4x-1<7

Graph of2x+8鈮�4

04

Step 4.Merge The Graph of Each Solution

05

Step 5.Interval Notation

Thenumberthatmakebothinequalitiestrueis-2鈮�x<2IntervalNotation:[-2,2)

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