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

1 answer

To solve the inequality, we need to isolate the variable x.

First, let's simplify the left side of the inequality:
1/4x - 3/4 > 5/1

To get rid of the fraction, we can multiply through by the reciprocal of 1/4, which is 4/1:
(4/1)(1/4x - 3/4) > (4/1)(5/1)
x - 3 > 20

Next, let's solve for x by adding 3 to both sides of the inequality:
x - 3 + 3 > 20 + 3
x > 23

Therefore, the solution to the inequality 1/4x - 3/4 > 5 is x > 23.