Solve 1/4x−3/4>5 1/4 .(1 point)

Answer 1

To solve the inequality, we can first simplify both sides of the equation:

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

To add the fractions on the right side, we need to find a common denominator, which is 4. So, 5 1/4 can be rewritten as 5 + 1/4, which is 20/4 + 1/4 = 21/4.

Now the inequality becomes:

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

Next, we can remove the fractions by multiplying both sides of the inequality by the denominator (4):

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

This results in:

1x - 3 > 21

Adding 3 to both sides, we get:

1x > 24

Finally, we can simplify it further:

x > 24

So the solution to the inequality is x > 24.