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

Question

A. x > 21 3/4

B. x > 1 1/2

C. x > 24

D. x > 18

Answer 1

To solve the inequality, we can first simplify both sides of the inequality:

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

First, let's change the mixed number 5 1/4 into an improper fraction:
5 1/4 = (5*4 + 1)/ 4 = 21/4

Now, we can rewrite the inequality as:
1/4x - 3/4 > 21/4

Next, we can add 3/4 to both sides of the inequality to isolate the term with "x":
1/4x > 21/4 + 3/4
1/4x > 24/4

Simplifying the right side of the inequality:
1/4x > 6

Now, we can multiply both sides of the inequality by 4 to get rid of the fraction:
(4)(1/4x) > (4)(6)
x > 24

Therefore, the solution to the inequality is x > 24.

So the correct answer is C. x > 24.