Determine whether or not each set is compact and whether or not it is convex.

Use the sets from Exercise 4.

Data From Exercise 4

Determine whether each set is open or closed or neither open nor closed.

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a. {(x, y): x² + y² = 1} b. {(x, y): x² + y² > 1} c. {(x, y): x² + y² ≤ 1 and y>0} d. {(x, y): y ≥ x²} {(x, y): y < x²} e.