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

a.x
b. x > 5
c. x > 7
d.x

1 Answer

1 vote

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

User Mollie
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