y = x – 2

Straight line graph with gradient=1 and intercept – 2 on y-axis. Since it is an inequality, the line is a dashed line and shade the region below the dashed line

Make a table of x/y values for the equality:

x: -5, -4, -3, -2, -1, 0, +1, +2, +3, +4, +5, etc.

y: -7, -6, -5, -4, -3, -2, -1, 0, +1, +2, +3, etc.

Now try the same for y less than 2, or x = 1 + y

y: -6, -5, -4, -3, -2, -1, 0, +1, +2, +3, +4, etc.

If you plot the co-ordinates for the equality,

can you see which direction/side the inequality is on?

y > -x – 2

and then since its greater than the shaded part is ABOVE the DASHED line.