How do you solve #-5(2b+7)+b< -b-11#?

1 Answer
Nov 23, 2016

Answer:

#b > -3#

Explanation:

First, expand the term in parenthesis:

#-10b - 35 + b < -b - 11#

Next, combine like terms:

#-9b - 35 < -b - 11#

Now, isolate the #b# terms on one side of the inequality and the constants on the other side of the inequality while keeping everything balanced:

#-9b - 35 + 35 + b < -b - 11 + 35 + b#

#-9b + b < -11 + 35#

#-8b < 24#

Finally we solve for #b# by dividing each side of the inequality by #-8#. However, remember to "flip" or reverse the inequality because we are dividing by a negative number:

#(-8b)/(-8) > 24/(-8)#

#b > -3#