What value of x is in the solution set of 3 (x - 4) ≥ 5x + 2?

-10

-5

5

10

A (-10)

The value of x is in the solution set of 3 (x - 4) ≥ 5x + 2 is - 10

Solution:

Need to determine which value of x from given option is solution set of 3 (x - 4) ≥ 5x + 2

Lets first solve 3 (x - 4) ≥ 5x + 2

3 (x - 4) ≥ 5x + 2

=> 3x - 12 ≥ 5x + 2

=> 3x - 5x ≥ 12 + 2

=> - 2x ≥ 14

=> - x ≥ 7

=> x ≤ - 7

All the values of x which are less than or equal to - 7 is solution set of 3 (x - 4) ≥ 5x + 2. From given option there is only one value that is - 10 which is less than - 7

Hence from given option - 10 is solution set of 3 (x - 4) ≥ 5x + 2.