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

1 Answer
Apr 27, 2017

Answer:

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#