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Chapter 3: Q. 15 (page 151)

Solve the inequality. Graph your solution.

6n-3鈮�-9

Short Answer

Expert verified

Solution of the inequality is n鈮�-1.

Step by step solution

01

Step 1. Solve the inequality

6n-3鈮�-9

Add 3 both the sides.

6n鈭�3+3鈮�鈭�9+36n鈮�鈭�6

Divide both sides by 6.

n鈮�鈭�66n鈮�鈭�1

02

Step 2. Graph the inequality

The solution of the inequality is n鈮�-1.

That means, all values n鈮�-1 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, n鈮�-1 and substitute in the original inequality and observe the result.

Take n=-2.

Then,

6鈭�2鈭�3鈮�鈭�9鈭�12鈭�3鈮�鈭�9鈭�15鈮�鈭�9

The result -15鈮�-9 is true. So, the solution n鈮�-1 is correct.

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