Which is the graph of the linear inequality 2 y is greater than x minus 2 ?

Answer

A

Image with description On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4 comma negative 3), (0 comma negative 1), and (2 comma 0). Everything to the right of the line is shaded.

B

Image with description On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4 comma negative 3), (0 comma negative 1), and (2 comma 0). Everything to the left of the line is shaded.

C

Image with description On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4 comma negative 3), (0 comma negative 1), and (2 comma 0). Everything to the left of the line is shaded.

D

Image with description On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4 comma negative 3), (0 comma negative 1), and (2 comma 0). Everything to the right of the line is shaded.

Explanation

Divide both sides of 2y > x − 2 by 2 to get y > ½x − 1. The boundary is the line y = ½x − 1, which passes through the listed points, and it must be dashed because the inequality is strict. Since the inequality is y greater than the line, shade above it, which is the left side in the graph. Choice B shows a dashed line with the left side shaded.

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Graphing Two-Variable Linear Inequalities — Quiz

Which is the graph of the linear inequality 2 y is greater than x minus 2 ?

Explanation

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