How do you solve the inequality #10(x+2)>2(6-9x)#?

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Answer 1 · 2016-01-31T11:50:13

#x > -2/7#

We must simply first the inequality, both the left and right side :)

#10(x + 2) > 2(6 - 9x)#

using Distributive Property of Real Numbers:

#10x + 20 > 12 - 18x#

then we must combine the same terms/like terms
(Using the Golden Rule of Algebra) (Balancing the Equation) :)

#28x > -8#

then divide both sides by #28#

#x > -8 / 28#

reduce to lowest terms,

#x > -2/7#