Prove or disprove:
(a) Every point inside the circle (x − 3)2 + (y − 2)2 = 4 is inside the circle x2 + y2 = 41.
(b) If (x, y) is inside the circle (x − 3)2 + (y − 2)2 = 4 then x − 6 < 3y.
(c) Every point inside the circle (x − 3)2 + (y − 2)2 = 4 is inside the circle (x − 5)2 + (y + 1)2 = 25.
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