Question

What is the solution to the given inequality?

Answer 1

1/2 - 1/4x ≥ -1/4

Combine 1/4x to get x/4:

1/2 - x/4 ≥ -1/4

Subtract 1/2 from both sides:

-x/4 ≥ -1/4 - 1/2

Simplify:

-x/4 ≥ -3/4

Multiply both sides by 4:

-x ≥ -3/4 * 4

-x ≥ -3

Multiply each side by -1 ( and since you are multiplying by -1, you also need to reverse the inequality sign)

Answer: x ≤ 3