How do you solve 40>=-5z?

1 Answer
Apr 27, 2017

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