(A).
The solutions on the line are included and the line y = -2x + 1 has a y-intercept of 1 which means the point (0,0 ) lies on its left side; therefore, we know that the correct inequality sign to choose is ≤ . Hence, the inequality is
y ≤ -2x + 1
(B).
The point (-5, 1 ) lies to the left of the line y = -2x + 1 meaning the appropriate sign would be < or ≤; hence, an inequality which has a solution (-5, 1) is
y ≤ -2x + 1