Question

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

Answer 1

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`