How do you solve the compound inequality #2w+1<-9# and #4w+2<10#?

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Answer 1 · 2017-02-26T09:56:42

#w < -5#

There is one variable #(w)#

Solve each inequality separately.

#2w+1 < -9#

#2w < -9-1#

#2w < -10#

#w < -5#

and

#4w +2 < 10#

#4w < 10 -2#

#4w < 8#

#w < 2#

We have 2 answers for #w#, but the final answer must be a solution for BOTH inequalities.

Values from -5 to 2 will only be true for the second inequality, but not for the first, they are therefore not valid.

The solution #w<-5# includes the solution #w <2#