First, subtract #color(red)(4.1)# from each side of the inequality to isolate the #v# term while keeping the equation balanced:
#v/-8 + 4.1 - color(red)(4.1) > 6.3 - color(red)(4.1)#
#v/-8 + 0 > 2.2#
#v/-8 > 2.2#
Now, multiply each side of the inequality by #color(blue)(-8)# to solve for #v# while keeping the inequality balanced. However, because we are multiplying or dividing an inequality by a negative number we must reverse the inequality operator:
#color(blue)(-8) xx v/-8 color(red)(<) color(blue)(-8) xx 2.2#
#cancel(color(blue)(-8)) xx v/color(blue)(cancel(color(black)(-8))) color(red)(<) -17.6#
#v < -17.6#
