Which of the following is not true about the boundary line in the graph of a linear inequality in two​ variables?
A. The points on the boundary line are always solutions to the linear inequality.
B. The boundary line separates the ordered pair solutions to the inequality from the ordered pairs that are not solutions to the inequality.
C. A solid line is used when the inequality is​ non-strict ​( ≤ or ≥ ​).
D. A dashed line is used when the inequality is strict ​( < or > ​)

Respuesta :

D. A dashed line is used when the inequality is strict ​( < or > ​)

A linear inequality in two variables is obtained by taking a linear equation in two variables, and replacing the equality sign with any one of the four inequality signs: <,>,=<,>=.

The graphed region of points satisfying the inequality is always half of the plane bounded by the corresponding line.

When the inequality is [tex]\leq[/tex] or [tex]\geq[/tex], the line is included. Otherwise, the line is excluded.

So, A dashed line is used when the inequality is strict ​( < or > ​) is not true about the boundary line in the graph of a linear inequality in two​ variables

Therefore, the correct option is D.

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