Verified answer

Here is how to know which side to shade.

2 methods

1) if it is greater than, then shade above it, if it is less than, shade below it

2) pick a point NOT on the line. I usually try to use (0,0) or at least have one of the two numbers be zero... maybe (0, 1) or (5, 0)... whatever you want, just NOT on the line.

Input those numbers into the equation. if the inequality is TRUE, you shade the side that has that point. If the inequality it false, you shade the other side.

so let's use (0, 0)

input it into the graph

y ≥ x + 1

0 ≥ 0 + 1

0 ≥ 1

This is FALSE, so shade the side of the line that does NOT have (0, 0) in it.

If you didn't know how to graph the line

a) it is a a solid line because it is greater than OR EQUAL TO

b) the y-intercept is 1

c) the slope is 1