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Chapter 2: Q.2.121. (page 188)

Solve the compound inequality. Graph the solution and write the solution in interval notation: 4x 鈭� 7 < 9 and

5x + 8 鈮� 3.

Short Answer

Expert verified

Solution in interval notation is [-1, 4)

The solution graph is

Step by step solution

01

Step 1. Given information

4x鈥�鈭�鈥�7鈥�<鈥�9鈥�and5x鈥�+鈥�8鈥�鈮�鈥�3.

02

Step 2. Solve inequalities

4x鈥�鈭�鈥�7鈥�<鈥�9鈥�鈬�4x<16鈬�x<4and5x鈥�+鈥�8鈥�鈮�鈥�鈥�3鈬�5x鈮�-5鈬�x鈮�-1

03

Step 3.Draw Graph of the solution

Graph of 4x-7<9

Graph of 5x+8鈮�3

04

Step 4. Merge overlapping intervals and notate intervals

Solution:鈥�鈥�-1鈮�鈥�x<4鈥�鈥�Interval鈥�Notation:鈥�[-1,鈥�4)

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