Respuesta :

Answer:

x [tex]\leq[/tex] 3

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] - [tex]\frac{1}{4}[/tex]x [tex]\geq[/tex] - [tex]\frac{1}{4}[/tex]

the first step is to subtract [tex]\frac{1}{2}[/tex] from both sides of the equation.

[tex]\frac{1}{2}[/tex] - [tex]\frac{1}{4}[/tex]x [tex]\geq[/tex] - [tex]\frac{1}{4}[/tex]

-[tex]\frac{1}{2}[/tex]         - [tex]\frac{1}{2}[/tex]

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

-[tex]\frac{1}{4}[/tex]x [tex]\geq[/tex] - [tex]\frac{3}{4}[/tex]

then, divide both sides of the equation by - [tex]\frac{1}{4}[/tex].

x [tex]\leq[/tex] 3

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

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)