1/4 x minis 3/4 > 5 1/4
To solve this inequality, we can first convert the mixed numbers to improper fractions.
1/4 x minis 3/4 can be rewritten as (1/4)x - 3/4.
Rewriting 5 1/4 as an improper fraction, we get 21/4.
So, (1/4)x - 3/4 > 21/4.
To isolate x, we can add 3/4 to both sides:
(1/4)x > 21/4 + 3/4
Simplifying,
(1/4)x > 24/4
(1/4)x > 6
Now, multiply both sides by 4 to get rid of the fraction:
4 * (1/4)x > 4 * 6
x > 24
Therefore, the solution to the inequality is x > 24.