Question

What is the solution to the given inequality? 1/2-1/4x>-1/4

Answer 1

Step 1: Simplify both sides of the inequality.
-1/4 x+1/2 ≥ -1/4
Step 2: Subtract 1/2 from both sides.
-1/4 x+1/2 -1/2 ≥ -1/4 - 1/2
-1/4 x ≥ -3/4
Step 3: Multiply both sides by 4/(-1).
(4/-1)*(-1/4 x) ≥ ( 4/-1)*(-3/4)

The final answer is: x ≤ 3


Hope that helps you<3

Answer 2

x ≤ 3

Explanation:

`(1)/(2)-(1)/(4)x \geq -(1)/(4)`

Subtract 1/2 from both sides:

`\implies (1)/(2)-(1)/(4)x-(1)/(2) \geq -(1)/(4)-(1)/(2)`

`\implies -(1)/(4)x \geq -(3)/(4)`

Multiply both sides by 4:

`\implies -(1)/(4)x \cdot 4 \geq -(3)/(4) \cdot 4`

`\implies -x \geq -3`

Divide both sides by -1 (remembering to flip the sign):

`\implies (-x)/(-1) \geq (-3)/(-1)`

`\implies x \leq 3`