How do you solve #-72<f/-6#?

1 Answer
Mar 14, 2018

Answer:

See a solution process below:

Explanation:

Multiply each side of the inequality by #color(blue)(-6)# to solve for #f# while keeping the inequality balanced. However, because we are multiplying or dividing an inequality by a negative number we must reverse the inequality operator:

#color(blue)(-6) xx -72 color(red)(>) color(blue)(-6) xx f/-6#

#432 color(red)(>) cancel(color(blue)(-6)) xx f/color(red)(cancel(color(black)(-6)))#

#432 color(red)(>) f#

To state the result in terms of #f# we can reverse or "flip" the entire inequality:

#f < 432#