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Chapter 3: Q13. (page 151)

Tell whether the given number is a solution of5x-10>2x+4.

-2

Short Answer

Expert verified

No, x=鈭�2is not a solution.

Step by step solution

01

Step-1- Solve the inequality

5x鈭�10>2x+4

First add 10 and then subtract 2x at both side

5x鈭�10+10鈭�2x>2x+4鈭�2x+103x>14

Divide by 3.

x>143x>4.66

02

Step-2- Graph the inequality

The solution of the inequality isx>4.66.

That means, all valuesx>4.66 satisfy the inequality. So, the graph can be given as shown below.

03

Step-3- Check the solution

To check the solution, substitutex=鈭�2in the original inequality and observe the result.

5脳(鈭�2)鈭�10>2脳(鈭�2)+4鈭�10鈭�10>鈭�4+4鈭�20>0

The result 鈭�20>0is not true. So,x=鈭�2 is not a solution of the inequality.

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