Solve 1/4 x − 3/4 > 5 and 1/4

Answer 1

To solve for x in the inequality 1/4x - 3/4 > 5 and 1/4, we can start by adding 3/4 to both sides of the inequality:

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

Simplifying both sides, we get:

1/4x > 20/4 + 3/4
1/4x > 23/4

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

4 * (1/4x) > 4 * (23/4)
x > 23/1

So the solution to the inequality is x > 23.

Answer 2

SO close! but the options are

x > 18

x > 1 and 1/2

X > 24

X > 21 and 3/4

Answer 3

Let's solve the inequality step by step:

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

Combining like terms on the right side, we have:

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

Next, we can add 3/4 to both sides:

1/4x > 21/4 + 3/4

1/4x > 24/4

Simplifying further:

1/4x > 6

Finally, multiplying both sides by 4 to eliminate the fraction, we get:

4 * (1/4x) > 4 * 6

x > 24

Therefore, the solution to the inequality is x > 24.