On a number line with zero in the middle and all negatives to the left of the middle and all positives to the right of the middle, mark 4 units to the left of zero (that's -4). Also mark 1 unit to the left of zero (that's -1).
The first inequality is the line segment between -4 and -1, but it doesn't include the points -4 and -1, it's just the line between. This is usually written -4<x<-1.
x+5>4 and x-2<2 need to be solved: x+5>4, x>4-5, so x>-1. x-2<2, x<4.
This means x lies between -1 and 4, usually written -1<x<4. -1 is 1 unit to the left of zero on the number line and 4 is 4 units to the right of zero.
If you combine the two inequalities, you get two line segments almost touching at -1. You can show this on a diagram by drawing a tiny circle at -1. You should also draw tiny circles at -4 and 4. You should end up with a line running from -4 to 4, but with a tiny circle at -1 and tiny circles at the endpoints.