The equation is
.
The all points on the coordinate plane to the left of the graph of
represent the shaded region and the boundary line
does not include in the shaded region, so here we can use inequality symbol
to write the inequality is
.
The graph of the inequality
is the shaded region, so every point in the shaded region satisfies the inequality.
The graph of the equation
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 not satisfy the inequality.
For every value of y, the value of x is 2. The graph of the equation
is a vertical line 2 units to the left of the y - axis.
\
To draw inequality
follow the steps.
1. Draw a coordinate plane.
\2. Plot the points and draw a line through these points.
\3. To determine which half-plane to be shaded use a test point in either half-plane. A simple choice is
.
Substitute the value of
in the original inequality.
.
4. Since the above statement is false, shade the region that does not contain point
.

The inequality
graph is
