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

1 Answer
Dec 17, 2017

Answer:

#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