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Answer:

The correct answer is D

Step-by-step explanation:

Boundary points are NOT always solutions

The statement  not true about the boundary line in the graph of a linear inequality in two​ variables is he point on boundary line are always solutions to the linear inequality

What does boundary line in graph of a linear inequality in two variable represent ?

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.

According to the question

Boundary line in graph of a linear inequality in two variable represents :

  • The boundary line is dashed or strict for > and <
  • The boundary line is solid or non strict  for ≤ and ≥.
  • boundary line divides the coordinate plane into two halves
  • boundary line where one half represents the solutions of the inequality

Hence, The statement  not true about the boundary line in the graph of a linear inequality in two​ variables is he point on boundary line are always solutions to the linear inequality.

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