Solve 1/4x-3/4 is greater than 5 1/4

Answer 1

To solve the inequality (1/4)x - 3/4 > 5 1/4, we can first simplify the equation on the right side:

5 1/4 = 5 + 1/4 = 20/4 + 1/4 = 21/4

Now the inequality becomes:

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

Next, we can add 3/4 to both sides of the inequality to isolate (1/4)x:

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

(1/4)x > 24/4

(1/4)x > 6

To get rid of the fraction (1/4), we can multiply both sides of the inequality by 4:

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

(1/4) * 4 * x > 24

x > 24

Therefore, x is greater than 24.