How do you solve #-\frac { 2} { 3} ( 7x - 2) > 6#?

1 Answer
EZ as pi
Nov 3, 2016

#x <-1#

Explanation:

Treat an inequality in the same way as an equation, unless you multiply or divide by a negative number, in which case the inequality sign changes around. That happens in this case:

#-2/3(7x-2) >6" "larrcolor(blue)(xx -3/2)# on both sides

#color(blue)(-3/2xx)-2/3(7x-2) color(red)(<) color(blue)(-3/2xx)6" "larr# note the sign changes

#7x-2 < -9#

#7x < -9+2#

#7x < -7#

#x <-1#

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