Solve 1/4x−3/4>5 1/4.(1 point)

Question

Responses

A: x>24

B: x>21 3/4

C: x>1 1/2

D: x>18

Answer 1

To solve the inequality 1/4x - 3/4 > 5 1/4, first, we need to get rid of the fractions by multiplying both sides of the inequality by the least common denominator, which is 4.

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

Simplifying both sides, we have:

x - 3 > 21

Next, we can isolate x by adding 3 to both sides:

x > 21 + 3

x > 24

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

So, the correct answer is A: x > 24.