How do you solve the inequality 2x-6<4?

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Answer 1 · 2016-11-20T13:08:25

#x < 5#

To solve this problem you must isolate and solve for #x# while keeping the inequality balanced.

First, add #6# to each side of the inequality:

#2x - 6 + 6 < 4 + 6#

#2x - 0 < 10#

#2x < 10#

Next, divide each side of the inequality by 2 in order to get the answer:

#(2x)/2 < 10/2#

#(2/2)x < 5#

#1x < 5#

#x < 5#