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

Answer 1

To solve the inequality 1/4x - 3/4 > 5 1/4, we first need to convert the mixed number 5 1/4 to an improper fraction.

5 1/4 = 21/4

So, the inequality becomes:

1/4x - 3/4 > 21/4

To eliminate the denominators, we can multiply all terms in the inequality by 4, which is the least common denominator:

4 * (1/4x - 3/4) > 4 * (21/4)

This simplifies to:

1x - 3 > 21

Next, add 3 to both sides to isolate x:

1x - 3 + 3 > 21 + 3

This simplifies to:

1x > 24

Finally, divide both sides of the inequality by 1 to solve for x:

x > 24