How do you slve #-3x \leq - 6#?

1 Answer
Apr 6, 2018

#x >= 2#

Explanation:

#-3x <= -6#

We solve inequalities similarly to equations. However, there is one very important difference: sign change.

There are two scenarios when you change the direction of the inequality:
#(1)# Multiplying both sides by a negative number
#(2)# Dividing both sides by a negative number

Keeping this in mind, let's solve this problem. We divide by #-3#, which is negative, meaning we change the direction of the sign to #>=#.

So the answer is #x >= 2#.