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

1 answer

The correct response is:

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

In this case, since the inequality is strictly less than (3x - 7.2y < 0), points on the boundary line (where the expression equals 0) are not included as solutions.

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