Question

How do you solve and write the following in interval notation: `-3x > 2` OR `(2x + 2) / 3 > 0`?

Answer 1

Solution: `x < -2/3 or x > -1` . In interval notation expressed as
`x| (-oo , -2/3) uu (-1, oo)`

Explanation:

`-3x >2 or (2x+2)/3>0` or

`3x < -2 or (2x+2)>0` or

`x < -2/3 or 2x > -2` or

`x < -2/3 or x > -1`

Solution: `x < -2/3 or x > -1` . In interval notation expressed as

`x| ( -oo , -2/3) uu (-1, oo)` [Ans]