Solve 1/4x−3/4>5 1/4 .(1 point)
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
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.