Questions: Graph the inequality in the coordinate plane. x>6

Solution Steps

The inequality is _x_ > 6. The boundary line is _x_ = 6, which is a vertical line passing through _x_ = 6. Since the inequality is strictly greater than, the line should be dashed to indicate that points on the line are not included in the solution.

Choose a test point not on the line, such as (0, 0). Substitute the coordinates into the inequality: 0 > 6. This is false. Therefore, shade the side of the line that does not contain the point (0, 0). This is the region to the right of the line _x_ = 6.

Final Answer