The inequality is .

Solve the inequality , for y.

Multiply each side by 2.

Subtract x from each side.

Consider the graph of .

First determine the boundary by graphing , the equation you obtain by replacing inequality sign with an equals sign.

Since the inequality involves y-values greater than or equal to , the line should be dashed.

The boundary divides the coordinate plane in to two half planes.

Note: a dashed line on a coordinate plane indicates that the boundary is not part of the solution set.

To determine  which half plane contains the  solution, choose a point from each half plane and test it in the  inequality.

Try . So, substitute in .

Since the statement is false.

Try . So, substitute in .

Since the statement is true.

The half plane that contains contains the solution. Shade that half plane.

The graph of the inequality is