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)

Question

Responses

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 greater than or less than .

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.

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 greater-than-or-equal-to or less-than-or-equal-to .

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

Answer 1

The correct conclusion for Max should be:

The point is not a solution to the linear inequality because points on boundary lines are only solutions when the inequality symbol is ≥ or ≤.

This is because the inequality symbol is <, which means that the points on the boundary line do not satisfy the inequality. Only points in the region defined by the inequality (not on the line itself) are solutions in this case.