Question

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

Answer 1

See entire solution process below:

Explanation:

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`