Question

Solve 1/4x−3/4>5 1/4 .(1 point) Responses x>24 x greater than 24 x>2134 x greater than 21 ​Start Fraction 3 over 4 end fraction x>112 x greater than ​1 Start Fraction 1 over 2 end fraction x>18

Answer 1

To solve the inequality, we want to isolate the variable x.

First, let's simplify both sides of the inequality.
We can rewrite the left side as a single fraction:
(1/4)x - (3/4) > 5 + 1/4.

Next, let's get rid of the fraction on the right side by finding a common denominator:
(1/4)x - (3/4) > (20/4) + (1/4).

Now, we can combine like terms on the right side:
(1/4)x - (3/4) > 21/4.

Next, let's add (3/4) to both sides to get rid of the negative term on the left side:
(1/4)x - (3/4) + (3/4) > 21/4 + (3/4).

Simplifying:
(1/4)x > 24/4.

Now, we can divide both sides of the inequality by (1/4) to isolate the variable x:
(1/4)x / (1/4) > (24/4) / (1/4).

Simplifying:
x > 24.

Therefore, the solution to the inequality 1/4x - 3/4 > 5 1/4 is x > 24.