Question

How do you solve the inequality `x 3/2< -8`?

Answer 1

See the solution process below:

Explanation:

Multiply each side of the inequality by `color(red)(2)/color(blue)(3)` to solve for `x` while keeping the inequality balanced"

`x3/2 xx color(red)(2)/color(blue)(3) < -8 xx color(red)(2)/color(blue)(3)`

`xcolor(blue)(cancel(color(black)(3)))/color(red)(cancel(color(black)(2))) xx cancel(color(red)(2))/cancel(color(blue)(3)) < -16/3`

`x < -16/3`