First, subtract #color(red)(7)# from each side of the inequality to isolate the #v# term while keeping the inequality balanced:
#-84 - color(red)(7) > -7v + 7 - color(red)(7)#
#-91 > -7v + 0#
#-91 > -7v#
Next, divide each side of the inequality by #color(blue)(-7)# to solve for #v# while keeping the inequality balanced. However, because we are multiplying or dividing an inequality by a negative term we need to reverse the inequality operator:
#(-91)/color(blue)(-7) color(red)(<) (-7v)/color(blue)(-7)#
#13 color(red)(<) (color(blue)(cancel(color(black)(-7)))v)/cancel(color(blue)(-7))#
#13 color(red)(<) v#
We can reverse or flip the entire inequality to state the solution in terms of #v#:
#v > 13#
