Question

Solve 4(x - 3) - 2(x - 1) > 0.

Answer 1

Remark

Remove the brackets. Then solve as a normal inequality.

Solution

4(x - 3) - 2(x - 1) > 0

4x - 12 - 2x + 2 > 0    Combine like terms on the left

4x - 2x - 12 + 2 > 0

2x - 10 > 0                 Add 10 to both sides

2x > 10                       Divide by 2

x > 10/2

x > 5

Answer: B

Discussion

C and D are both true but these questions always assume that you are going to pick the lowest value that will allow the inequality  to be true. x> 7 and x>14 will be included in x>5