What is the graph of

Question

x-7y<0?

Answer 1

The inequality is x - 7y < 0.

The graph of the inequality x - 7y < 0 is the shaded region, so every point in the shaded region satisfies the inequality.

The graph of the equation x - 7y = 0 is the boundary of the region. Since the inequality <, the boundary is drawn as a dashed line to show that points on the line does satisfy the inequality.

To draw inequality x - 7y < 0 follow the steps.

1.  Draw a coordinate plane.

2.  Draw a line x - 7y = 0.

3.  To determine which half-plane to be shaded use a test point in either half-plane. A simple choice is (1, 1).

Substitute the value of (x, y) = (1, 1) in the original inequality.

(1) - 7(1) < 0 ⇒ - 6 < 0.

4.  Since the above statement is true, shade the region that contains point (1, 1).

The inequality x - 7y < 0 graph is