How do you solve #-82 > -2 (6-4m)-6#?

1 Answer
Jul 24, 2018

Answer:

#m < -8#

Explanation:

#-82 > -2(6-4m)-6#

Distribute/expand the right side:
#-82 > -12 + 8m - 6#

Simplify the right side:
#-82 > -18 + 8m#

Add #color(blue)18# to both sides:
#-82 quadcolor(blue)(+quad18) > -18 + 8m quadcolor(blue)(+quad18)#

#-64 > 8m#

Divide both sides by #color(blue)8#:
#(-64)/color(blue)8 > (8m)/color(blue)8#

#-8 > m#

Therefore,
#m < -8#

Hope this helps!