Question

I WILL MARK THE CORRECT ANSWER BRAINLIEST IF YOU GIVE YOUR WORK!!

Solve for x.
1/3(4x - 2) > 1/4x - 1/2

Here are the choices:
A. x > 2/13
B. x > -34/63
C. x > 10/21
D. x > -18/13

Thank you so much in advance. It is because of helpful and truly kind people like you who help others out that this world can become a better place.

Answer 1

Answer:

x > 2/13

Step-by-step explanation:

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

Multiply each side by 12 to clear the fractions

12*1/3(4x - 2) >12* 1/4x -12* 1/2

4(4x - 2) > 3x - 6

Distribute

16x -8 > 3x-6

Subtract 3x from each side

16x-3x -8 > 3x-6-3x

13x-8 > -6

Add 8 to each side

13x-8+8 > -6+8

13x >2

Divide by 13

13x/13 > 2/13

x > 2/13