Answer
False
Work Step by Step
See step 2 in
"Graphing a Linear Inequality in Two Variables", p.563
We do not choose test points on the border line, because the coordinates of the line will satisfy the EQUALITY, not the inequality.
Pick a point from either half-plane (either side of the line)
and see if it satisfies the inequality.
If the inequality is satisfied, we have found our solution set.
If not, the the solution set is the OTHER half-plane.
The statement is false