Question

How do you solve and write the following in interval notation: `-5<3x + 4`?

Answer 1

`-5 < 3x+4color(white)("XX")rArrcolor(white)("XX")-3 < x`
`color(white)("XXXXX")x in (-3, +oo)`

Explanation:

Given
`color(white)("XXX")-5 < 3x+4`

Since we can subtract the same amount to both sides of an inequality without effecting the validity or orientation of the inequality:
#color(white)("XXX")-9 < 3x

We can also divide both sides of an inequality by any amount greater than zero without effecting the validity or orientation of the inequality:
`color(white)("XXX")-3 < x`

If you prefer you could write this as `x > -3` but it's not really necessary.