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Chapter 3: Q. 17 (page 151)

Solve the inequality. Graph your solution.

3m-8>-30+5m

Short Answer

Expert verified

Solution of the inequality is m<11.

Step by step solution

01

Step 1. Solve the inequality

3m-8>-30+5m

Subtract 5m and add 8 both the sides.

3m鈭�8+8鈭�5m>鈭�30+5m+8鈭�5m鈭�2m>鈭�22

Divide both sides by -2.

m<鈭�22鈭�2m<11

02

Step 2. Graph the inequality

The solution of the inequality is m<11.

That means, all values m<11 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, m<11 and substitute in the original inequality and observe the result.

Take m=11.

Then,

3脳0鈭�8>鈭�30+5脳00鈭�8>鈭�30+0鈭�8>鈭�30

The result -8>-30 is true. So, the solution m<11 is correct.

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