# How do you solve #2y - 2 + 6x < -4#?

##### 1 Answer

Solution to an inequality like this is a set of all pairs

The right approach to this problem is to represent the solutions graphically.

First of all, let's simplify this inequality through a series of invariant (equivalent) transformations:

(a) add

(b) subtract

(c) divide by

The next step is to represent graphically the solutions to this inequality. To accomplish this, draw a graph of a corresponding *equality*:

graph{-2-3x [-10, 10, -5, 5]}

For every

Therefore, the area below this graph (not including the line itself) represents all the solutions to our inequality.

graph{y<-2-3x [-10, 10, -5, 5]}

The last inequality *all pairs* *that satisfy an inequality*