Question

Max is given the graph of the linear inequality 3x−7.2y<0
and asked to determine whether a given point is a solution. She notices that the point falls on the boundary line of the graph. What should she conclude?(1 point)
Responses

The point is not a solution to the linear inequality because points on boundary lines are never solutions to linear inequalities.
The point is not a solution to the linear inequality because points on boundary lines are never solutions to linear inequalities. - no response given

The point is a solution to the linear inequality because points on boundary lines are always solutions to linear inequalities.
The point is a solution to the linear inequality because points on boundary lines are always solutions to linear inequalities. - incorrect

The point is a solution to the linear inequality because points on boundary lines are only solutions when the inequality symbol is >
or <
.
The point is a solution to the linear inequality because points on boundary lines are only solutions when the inequality symbol is is greater than or <
. - no response given

The point is not a solution to the linear inequality because points on boundary lines are only solutions when the inequality symbol is ≥
or ≤
.
The point is not a solution to the linear inequality because points on boundary lines are only solutions when the inequality symbol is is greater than or equal to or is less than or equal to. - no response given

Answer 1

The point is not a solution to the linear inequality because the inequality is strict (<); points on the boundary satisfy 3x−7.2y = 0, not 3x−7.2y < 0. Boundary points are only included when the inequality uses ≥ or ≤.