Solve 1/4 x−3/4>5 1/4 .(1 point

Answer 1

To solve the inequality 1/4x - 3/4 > 5 1/4, we need to isolate the variable x.

First, let's convert 5 1/4 into an improper fraction:
5 1/4 = 5 + 1/4 = 20/4 + 1/4 = 21/4

Now, we can rewrite the inequality as:
1/4x - 3/4 > 21/4

To eliminate the denominators, we can multiply both sides of the inequality by 4:
4(1/4x - 3/4) > 4(21/4)
x - 3 > 21

Next, we can add 3 to both sides of the inequality:
x - 3 + 3 > 21 + 3
x > 24

So, the solution to the inequality is x > 24.