Solve 1/4x−3/4> 5 1/4.

x > 21 3/4
x > 18
x > 1 1/2
x > 24

1 answer

To solve the inequality 1/4x - 3/4 > 5 1/4, we first need to simplify it:

1/4x - 3/4 > 5 1/4

To get rid of the fractions, we can multiply every term by 4:

4(1/4x) - 4(3/4) > 4(5 1/4)

x - 3 > 21

Next, we add 3 to both sides of the inequality:

x - 3 + 3 > 21 + 3

x > 24

Therefore, the correct answer is x > 24.