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

Answer 1

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

First, let's convert the mixed number 5 1/4 to an improper fraction.
5 1/4 = 5 + 1/4 = 20/4 + 1/4 = 21/4

The inequality becomes:
1/4x - 3/4 > 21/4

Now, let's get rid of the denominators by multiplying both sides of the inequality by the common denominator, which is 4.
4 * (1/4x - 3/4) > 4 * (21/4)

Simplifying both sides:
x - 3 > 21

Next, let's isolate the variable x by adding 3 to both sides of the inequality.
x - 3 + 3 > 21 + 3

Simplifying both sides:
x > 24

The solution to the inequality is x > 24.