How do you solve #-156< - 6( 6- 4x )#?

1 Answer
Jun 10, 2018

#x<8#

Explanation:

Solve:

#-156<6(6-4x)#

Divide both sides by #6#.

#-156/6<6-4x#

Simplify #-156/6# to #-26#.

#-26<6-4x#

Subtract #6# from both sides.

#-26-6<-4x#

#-32<-4x#

Divide both sides by #-4#. This will reverse the inequality.

#(-32)/(-4)>x# #larr# Two negatives make a positive.

Simplify.

#8>x#

Switch sides.

#x<8#