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]
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-[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)