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Chapter 3: Q. 18 (page 151)

Solve the inequality. Graph your solution.

19鈮�x90-25

Short Answer

Expert verified

Solution of the inequality is x鈮�3960.

Step by step solution

01

Step 1. Solve the inequality

19鈮�x90-25

Add 25 both the sides.

19+25鈮�x90鈭�25+2544鈮�x90

Multiply both sides by 90.

44鈮�x9044脳90鈮�x90脳903960鈮�xx鈮�3960

02

Step 2. Graph the inequality

The solution of the inequality is x鈮�3960.

That means, all values x鈮�3960 satisfy the inequality. So, the graph can be given as shown below.

03

Step 3. Check the solution

To check the solution, take any random number, x鈮�3960 and substitute in the original inequality and observe the result.

Take x=0.

Then,

19鈮�090鈭�2519鈮�0鈭�2519鈮�鈭�25

The result 19鈮�-25 is true. So, the solution x鈮�3960 is correct.

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u6鈮�3
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