Question

Solve the inequality. Apply properties

Add
Subtract
Multiply
Divide
1/2-1/4x ≥ -1/4

Answer 1

1/2 - 1/4x ≥ -1/4

multiply both sides by the l.c.m of the both sides(4)

4(1/2 - 1/4x )≥ -1/4 ×4

2 - x ≥ -1

Collect the like terms

-x ≥ -3

Divide both sides by -1

x ≤ 3(when you divide by a negative number the equality changes)

Answer 2

x
`\leq` 3

Explanation:

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

the first step is to subtract
`(1)/(2)` from both sides of the equation.

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

-
`(1)/(2)` -
`(1)/(2)`

----------------

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

then, divide both sides of the equation by -
`(1)/(4)`.

x
`\leq` 3

(since we divided both sides by a negative number, to isolate x, the
`\geq` changed to
`\leq`.)