Question

How do you solve `-6< \frac { y } { 2}`?

Answer 1

See a solution process below:

Explanation:

Multiply each side of the inequality by `color(red)(2)` to solve for `y` while keeping the inequality balanced:

`color(red)(2) xx -6 < color(red)(2) xx y/2`

`-12 < cancel(color(red)(2)) xx y/color(red)(cancel(color(black)(2)))`

`-12 < y`

We can reverse or "flip" the entire inequality to state the solution in terms of `y`:

`y > -12`