How do you solve the inequality #-3/4x<20#?

1 Answer
Jan 15, 2017

Answer:

See the entire solution process below

Explanation:

To solve multiply each side of the inequality by #color(blue)(-4/3)# which will also keep the inequality balanced.

However, whenever multiplying or dividing an inequality by a negative term we must reverse the inequality sign.

#-3/4x < 20#

#color(blue)(-4/3) xx -3/4x color(red)(>) color(blue)(-4/3) xx 20#

#cancel(color(blue)(-4/3)) xx color(blue)(cancel(color(black)(-3/4)))x color(red)(>) -80/3#

#x > -80/3#