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 of the inequality:

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

Simplifying the equation, we have:

1/4x > 5 5/4

Next, we can convert the mixed number 5 5/4 to an improper fraction:

5 5/4 = 20/4 + 5/4 = 25/4

So the inequality becomes:

1/4x > 25/4

Now, to isolate x, we multiply both sides of the inequality by 4:

4 * (1/4x) > 4 * (25/4)

This simplifies to:

x > 25

Therefore, the solution to the inequality is x > 25.