How do you solve #\frac{x}{- 3} + 5\geq 6#?

1 Answer
Alan P.
Oct 10, 2016

#x <= -3#

Explanation:

Given
#color(white)("XXX")x/(-3)+5 >= 6#

You can add or subtract the same amount to both sides of an inequality without effecting the validity or orientation of the inequalty.
Subtract #5# from both sides:
#color(white)("XXX")x/(-3) >= 1#

Multiplying or dividing both sides of an inequality reverses the direction of the inequality.
multiply both sides by #(-3)#
#color(white)("XXX")x <= -3#

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