How do you solve #2(x + 6)>= 3x − 2#??

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Answer 1 · 2015-08-24T01:13:38

#x<=14#

#2(x+6)>=3x-2#

Work the problem as an equation, keeping in mind the direction of the inequality symbol.

Expand the left side.

#2x+12>=3x-2#

Subtract #2x# from both sides.

#12>=3x-2-2x##=#

#12>=x-2#

Add #2# to both sides.

#12+2>=x##=#

#14>=x#

Switch sides.

#x<=14#