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Solve the inequality. Apply properties

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1/2-1/4x ≥ -1/4

User Pototo
by
7.9k points

2 Answers

1 vote

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)

User Yves Boutellier
by
8.3k points
2 votes

Answer:

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.)

User The Pax Bisonica
by
8.5k points

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