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#
