How do you solve and graph y-2<4 and y+4>7?

1 Answer
Dec 17, 2017

y > 3 and y < 6

Explanation:

y - 2 < 4 and y + 4 > 7

So we kind of solve these inequalities like solving equations.

For y - 2 < 4, we add 2 to both sides like a normal equation:
y < 6

For y + 4 > 7, we subtract 4 to both sides:
y > 3

So we have to find the values that fulfill y < 6 and y > 3.

This means any value between but not including 3 and 6.

Here is the graph (It's easier to understand with a number line instead of a graph) but I did a graph. Where the red and blue intersect (or purple) is the solution:
enter image source here