I hope this helps
Explanation:
To solve the inequality x/4 + 6 1/4 > 7 1/2. we can first convert the mixed numbers to fractions.
x/4 + 25/4 > 15/2
Then, we can multiply both sides of the inequality by 4 to get rid of the fraction on the left-hand side.
x + 25 > 30
Finally, we can subtract 25 from both sides of the inequality to isolate x on the left-hand side.
x > 5
Therefore, the solution to the inequality is x > 5.
We can also check our answer by plugging in a value greater than 5 into the inequality. For example, if we plug in x = 6, we get:
6/4 + 25/4 > 30
15/2 > 30
This is true, so our answer is correct.