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

1 Answer
Jul 11, 2015

Answer:

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#