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

Question

A X > 18
B X > 21 3/4
C X > 1 1/2
D X > 24

Answer 1

To solve the inequality 1/4x - 3/4 > 5 / (1/4), we first need to simplify the right side.

5 / (1/4) = 5 * 4 = 20

So the inequality becomes:

1/4x - 3/4 > 20

Add 3/4 to both sides:

1/4x > 20 + 3/4
1/4x > 20 3/4

Now we need to convert 20 3/4 to an improper fraction:

20 3/4 = (4 * 20 + 3)/4 = 83/4

So the inequality is now:

1/4x > 83/4

To solve for x, multiply both sides by 4:

x > 83

Therefore, the solution to the inequality is x > 83.

Since none of the answer choices match x > 83, the closest one is:

B. X > 21 3/4