How do you solve the inequality #2(w+4)>7(w1)#?
1 Answer
Oct 3, 2016
Explanation:

Expand both sides:
#2(w+4) = 2w+8# , and#7(w1) = 7w7# 
Bring all the variables on the left side, and all the constants on the right:
#2w+8>7w7 \implies 2w7w> 78# 
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#