Solution for Section 2.1 Question 2

2. a) False. 0 is a real number but 02 noteq.jpg (604 bytes) 2.

b) True. sqrt2.jpg (659 bytes)in.jpg (595 bytes)R, and  (sqrt2.jpg (659 bytes))2 = 2.

c) True. 12 = 1 < 10,  22 = 4 < 10 and 32 = 9 < 10, so x2 < 10 for all elements of the set A.

d) False. There does not exist an element of A which is greater than 4.

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