Question

How do you solve `2/3h>14`?

Answer 1

Multiply each side of the equation by `3/2`. See full explanation below:

Explanation:

Multiply each side of the equation by `color(red)(3)/color(blue)(2)` to solve for `h` and keep the inequality balanced.

`color(red)(3)/color(blue)(2) xx 2/3h > color(red)(3)/color(blue)(2) xx 14`

`cancel(color(red)(3))/cancel(color(blue)(2)) xx color(blue)(cancel(color(black)(2)))/color(red)(cancel(color(black)(3)))h > 42/2`

`h > 21`