Question: 7. [7 points] Let {CT : r E [0, 00)} be the family of indexed sets given by C, = {(33, y) E R2 :

7. [7 points] Let {CT : r E [0, 00)} be the family of indexed sets given by C, = {(33, y) E R2 : 2 2 _ a; + y 'r}. a. Describe each of the sets 0,. geometrically. b. Prove that U 0,. = R2. rE[0,oo) 8. [5 points] Let {An : n E N} be the indexed collection of sets dened by An = (2, 2 + 2%) . Prove that An = (3. HEN

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