Praxis Mathematics (5165) Practice Test

When graphing two-variable inequalities with 'and', you want points that satisfy both inequalities at the same time. Each inequality creates a half-plane on one side of its boundary line. The shaded region for the first and the shaded region for the second overlap in the area where both conditions hold. That overlap is the intersection of the two half-planes. The boundary lines are included if the inequalities are inclusive (≤ or ≥); if they’re strict (< or >), the boundary lines aren’t included. This is different from using 'or', which would shade the union of the two half-planes.