Question

Determine whether each number is a solution of the

given inequality

8m - 6 < 10
when m = 3

O YES (m = 3 is a solution of the inequality)
o NO (m = 3 is not a solution of the inequality)

Answer 1

• NO (m = 3 is not a solution of the inequality)

The line graph is also attached below.

Explanation:

Given

`8m-6<10`

Add 6 to both sides

`8m-6+6<10+6`

Simplify

`8m<16`

Divide both sides by 8

`(8m)/(8)<(16)/(8)`

Simplify

`m<2`

Therefore, m = 3 NOT a solution of the inequality because 'm' must be less than 2.

Hence,

• NO (m = 3 is not a solution of the inequality)

VERIFICATION:

Given

`8m-6<10`

substitute m = 3

8(3) - 6 < 10

24 - 6 < 10

18 < 10

FALSE