Q:

Which is the graph of linear inequality 2y > x – 2?On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the right of the line is shaded.On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the right of the line is shaded.

Accepted Solution

A:
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.How to graph inequality?Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.The given linear inequality is,[tex]2y > x - 2[/tex]Solve it further,[tex]2y > x - 2\\2y-x > - 2[/tex]Change the inequality with changing the sign of it,[tex]x-2y < 2[/tex]The inequality equation is graphed, which can be shown in the image provided below. In this graphed equation,The inequality is shaded with dotted line.As the equation is linear. Thus, in the graph, a straight line is plotted.The sign in of greater than. Thus, the left of the line is shaded.Thus, on a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.Learn more about the graph of the inequality here;