3x - 2 < y

x - y > 6

1 answer

To solve this system of inequalities, we can use substitution.

Given: 3x - 2 < y

Let's solve for y in terms of x:
y > 3x - 2

Now we substitute this expression for y in the second inequality:

x - (3x - 2) > 6
x - 3x + 2 > 6
-2x + 2 > 6
-2x > 4
x < -2

So the solution to the system of inequalities is x < -2.