Solve 1/4x−3/4>5 1/4 .(1 point)

Question

Responses

x>2134
x greater than 21 ​Start Fraction 3 over 4 end fraction

x>24
x greater than 24

x>18
x greater than 18

x>112
x greater than ​1 Start Fraction 1 over 2 end fraction

Answer 1

To solve the inequality 1/4x - 3/4 > 5 1/4, we can start by simplifying the right side.

5 1/4 can be written as 21/4.

So the inequality becomes:

1/4x - 3/4 > 21/4

Next, we can multiply both sides of the inequality by 4 to get rid of the fractions:

4 * (1/4x - 3/4) > 4 * (21/4)

Simplifying, we have:

x - 3 > 21

Now, we can add 3 to both sides of the inequality to isolate x:

x - 3 + 3 > 21 + 3

x > 24

So the solution to the inequality is x > 24.