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 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 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 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
The point is a solution to the linear inequality because points on boundary lines are always solutions to linear inequalities.
thats not the rights answer
Apologies for the incorrect response.
The correct answer is:
The point is not a solution to the linear inequality because points on boundary lines are never solutions to linear inequalities.
thats also not the right answer
I apologize for giving incorrect answers. The correct answer 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 ≤.
The correct answer is: The point is a solution to the linear inequality because points on boundary lines are always solutions to linear inequalities.
Explanation: When a point falls on the boundary line of a linear inequality, it means that the inequality is true for that point. In this case, the given linear inequality is 3x - 7.2y < 0. If a point falls on the boundary line, it means that 3x - 7.2y = 0. Since any value less than 0 satisfies the inequality, the point is a solution to the linear inequality. Therefore, the correct conclusion is that the point is a solution to the linear inequality.