How do you solve the inequality #6 <x - 6 <=8#?

1 Answer
Júlio B.
Dec 28, 2015

#12 < x < 14#

Explanation:

When we talk about inequalities, its necessary for us to split it in two parts: #? < x# and #x < ?#.
In this case, we first have #6 < x -6# that becomes #12 < x# by passing the #-6# to the other side of the inequality.
Then, we solve the second part: #x - 6 < 8# that becomes # x < 14# by passing the #-6# to the other side of the inequality.
Now, we just need to join both parts, creating #12< x < 14#.

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