How do you solve #6<=4x+6<=38#?

1 Answer
Alan P.
Jun 10, 2016

#0 <= x <=8#

Explanation:

Adding or subtracting constant amounts to all sides of an inequality maintains the inequality.
Multiplying or dividing all sides of an inequality by a constant amount greater than zero also maintains the inequality.

Therefore
#color(white)("XXX")6 <=4x+6<=38#

#color(white)("XXX")hArr 0<=4x<=32#

#color(white)("XXX")hArr 0 <= x <= 8#

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