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

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 $3 \mathmr{and} 6$.

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: