Question

How do you solve and write the following in interval notation: `-y<-8`?

Answer 1

See a solution process below:

Explanation:

First, multiply each side of the inequality by `color(blue)(-1)` to solve for `y` while keeping the inequality balanced. However, because we are multiplying an inequality by a negative term we must reverse the inequality operator:

`color(blue)(-1) xx -y color(red)(>) color(blue)(-1) xx -8`

`y > 8`

Or, in interval notation:

`(8, +oo)`

Answer 2

`(8, oo)`

Explanation:

First, let's isolate for `y`

`-y<-8`

divide by `-1` on both sides

`y color(red)(>) 8`

when you divide/multiply by a negative number, the sign changes

So now our equation is `y > 8`, or `y` is larger that 8. If we graph it, it looks somethi ng liek ths:
graph{y > 8}

We can see that our range is from `8` to `oo`. If we wqant to write that in interval notation, we'd write it like this:
`(8, oo)`
from `8`, to infinity