The inequality is .

Subtract 4 from each side.

Divide each side by negative 2 and flip the symbol.

Consider the graph of .

First determine the boundary by graphing x = 3, the equation you obtain by replacing inequality sign with an equals sign.

Since the inequality involves x-values less than or equal to 3, 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 x = 1, y = 2 in .

Since the statement is false.

Try . So, substitute x = 5, y = 2 in .

Since the statement is true.

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

The graph of the inequality  is