How do you solve the inequality #2(w+4)>7(w-1)#?
1 Answer
Oct 3, 2016
Explanation:
-
Expand both sides:
#2(w+4) = 2w+8# , and#7(w-1) = 7w-7# -
Bring all the variables on the left side, and all the constants on the right:
#2w+8>7w-7 \implies 2w-7w> -7-8# -
Sum the terms:
#-5w> -15# -
Divide both terms by
#-5# . Note that when you deal with an inequality, if you multiply/divide both terms by a negative number you need to switch the inequality sign:
#-5w> -15 \implies w< (-15)/(-5) =3#
