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

Answer 1

To solve the inequality 1/4x - 3/4 > 5 1/4, we can start by adding 3/4 to both sides to isolate the variable term on one side of the inequality:

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

This simplifies to:

1/4x > 5 4/4

Which further simplifies to:

1/4x > 6

To eliminate the fraction, we can multiply both sides of the inequality by 4:

4 * (1/4x) > 4 * 6

This results in:

x > 24

Therefore, the solution to the inequality 1/4x - 3/4 > 5 1/4 is x > 24.