Chapter A5.1, Problem 5E

To determine

To describe: the regions defined by the given inequalities.

Answer to Problem 5E

The circle with centre at $(1,0)$ and radius 2 plus its interior.

Explanation of Solution

Given:

  ${(x-1)}^2+y^2<=4$

Calculation:

The regions defined by the given inequalitiesis calculated below

  ${(x-1)}^2+y^2<=4$

Since, this is an equation of circle, the region this will cover is the circle itself and the region of the circle.

Conclusion:

Therefore, the circle with centre at $(1,0)$ and radius 2 plus its interior.