Question

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

Answer 1

`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: