Rewrite the inequality as an equation and graph the boundary line: y = 2x - 5
The boundary line will be solid because the inequality is less than or equal to.

Test a point to see which side of the line needs to be shaded. It is always best to try (0, 0) unless the graph goes through the origin.

(0, 0)
y $\small\mathsf{ \geq}$ 2x - 5
0 $\small\mathsf{ \geq}$ 2(0) - 5
0 $\small\mathsf{ \geq}$ -5

Since this inequality is TRUE, the graph is shaded on the side of the line that does contain (0, 0).

Now shade the graph.