Question

Solve the inequality. Apply properties

Answer 1

Answer:

x $\leq$ 3

Step-by-step explanation:

$\frac{1}{2}$ - $\frac{1}{4}$x $\geq$ - $\frac{1}{4}$

the first step is to subtract $\frac{1}{2}$ from both sides of the equation.

$\frac{1}{2}$ - $\frac{1}{4}$x $\geq$ - $\frac{1}{4}$

-$\frac{1}{2}$         - $\frac{1}{2}$

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-$\frac{1}{4}$x $\geq$ - $\frac{3}{4}$

then, divide both sides of the equation by - $\frac{1}{4}$.

x $\leq$ 3

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

Answer 2

Answer:

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)