Solve 1/4x−3/4>5 1/4.(1 point)
Responses
A: x>24
B: x>21 3/4
C: x>1 1/2
D: x>18
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.