Question

How do you solve compound Inequality 2x < 10 and -5x < 5?

Answer 1

There are two rules working here

Explanation:

(1)
You may divide both sides by a positive number without problems:
`2x<10->x<5`

(2)
If you divide (or multiply by a negative number, the direction of the inequatlity sign changes:
`-5x<5->` (divide by -5) `x> -1->-1 < x`

We can combine these:
`-1 < x<5`