Question

How do you solve `40>=-5z`?

Answer 1

See the entire solution process below:

Explanation:

Divide each side of the inequality by `color(blue)(-5)` to solve for `z`. However, because we are multiplying or dividing an inequality by a negative term we must reverse the inequality operator:

`40/color(blue)(-5) color(red)(<=) (-5z)/color(blue)(-5)`

`-8 color(red)(<=) (color(blue)(cancel(color(black)(-5)))z)/cancel(color(blue)(-5))`

`-8 <= z`

To state the solution in terms of `z` we can reverse or "flip" the entire inequality:

`z >= -8`