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

Answer

A

Image with description A coordinate plane with a dashed straight line with a positive slope. The x-axis and y-axis are labeled from negative 5 to 5 in increments of 1. The dashed line passes through the points negative 5 comma negative 4 and 4 comma 1, with the region below the line shaded.

B

Image with description A coordinate plane with a solid straight line with a positive slope. The x-axis and y-axis are labeled from negative 5 to 5 in increments of 1. The solid line passes through the points negative 1 comma negative 2 and 4 comma 1, with the region below the line shaded.

C

Image with description A coordinate plane with a dashed straight line with a positive slope. The x-axis and y-axis are labeled from negative 5 to 5 in increments of 1. The dashed line passes through the points negative 5 comma negative 4 and 4 comma 1, with the region above the line shaded.

D

Image with description A coordinate plane with a dashed straight line with a positive slope. The x-axis and y-axis are labeled from negative 5 to 5 in increments of 1. The dashed line passes through the points negative 5 comma negative 4 and 4 comma 1, with the region below the line shaded.

Explanation

Divide both sides of 2y > x − 2 by 2 to get y > ½x − 1. The boundary is therefore a dashed line, because the inequality is strict, and the region above the line is shaded because y is greater than the boundary value. Choice C shows a dashed line with the region above it shaded.

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

Explanation

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