How do you solve #-11> -c/11#?

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Answer 1 · 2017-01-16T12:46:12

See entire solution process below:

First, multiply each side of the inequality by #color(blue)(-11)# to solve for #c# while keeping the inequality balanced.

However, whenever multiplying or dividing an inequality by a negative term we must reverse the inequality symbol.

#-11 > -c/11#

#color(blue)(-11) xx -11 color(red)(<) color(blue)(-11) xx -c/11#

#121 color(red)(<) cancel(color(blue)(-11)) xx c/color(blue)(cancel(color(black)(-11)))#

#121 < c#

Finally, to state the solution in terms of #x# we can reverse or "flip" the inequality:

#c > 121#