Question

Which of the following is a solution to the inequality below:

2(x - 2) - 4x >4
a. – 2
b. – 4
c.-5
d. 3

Answer 1

C

Explanation:

Solving the inequality

2(x - 2) - 4x > 4 ← distribute and simplify left side

2x - 4 - 4x > 4

- 2x - 4 > 4 ( add 4 to both sides )

- 2x > 8

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity

x < - 4

The only value from the list less than - 4 is - 5

Thus a solution to the inequality is x = - 5