To graph: The region provided by the set .
The set, .
The graph of the region provided by the set is sketched in the coordinate plane.
Consider the equation .
Rewrite the equation as,
Recall that the standard form of the equation of the circle is , where denote the center of the circle and r denote the radius.
Compare, and .
Therefore, center of circle is and radius is .
Now, on the Cartesian plane construct a circle with center at origin and radius 2 units.
Since, the inequality is
Now, shade the common region that lie otiside the circle..
The region obtained is provided below,
The region provided by the set is shaded region. The region shaded forms a circle with center at origin and radius 2 units. The broken line on boundary of circle denote that the boundary is not a part of the shaded region. The region described by inequality is region that lie outside the circle and all such points in coordinate plane that satisfy .
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