Example 4: Graph yx2 + 2.

Step 1--Graph of y = x2 + 2
Does (0, 0) satisfy yx2 + 2 ? 0≥02 + 2 ? No. Shade the region that does not contain (0, 0):
y = x2≥2

To graph an inequality with a "" sign, change the sign to an = sign and graph the equation as a dotted line. Then shade both regions of the graph. The entire xy-graph, with the exception of the dotted line, satisfies the inequality.