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Chapter 2: Q.2.122. (page 189)

Solve the compound inequality. Graph the solution and write the solution in interval notation: 3x 鈭� 4 < 5 and

4x + 9 鈮� 1.

Short Answer

Expert verified

Solution:-2鈮�x<3Intervalnotation:[-2,3)

The solution graph is

Step by step solution

01

Step 1. Given information

3x鈥�鈭�鈥�4鈥�<鈥�5鈥�and4x鈥�+鈥�9鈥�鈮�鈥�1

02

Step 2. Solve inequalities

3x鈥�鈭�鈥�4鈥�<鈥�5鈥�鈬�3x<9鈬�x<3and4x鈥�+鈥�9鈥�鈮�鈥�1鈬�4x鈮�-8鈬�x鈮�-2

03

Step 3. Draw the graphs of each solution

Graph of3x-4<5

Graph of4x+9鈮�1

04

Step 4. Merge overlapping intervals and notate intervals.

Solution:-2鈮�x<3Intervalnotation:[-2,3)

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