In: Advanced Math
1)
a. Which of the following sets are the empty
set?
i. { x | x is a real number and x2 – 1 = 0 }
ii. { x | x is a real number and x2 + 1 = 0 }
iii. { x | x is a real number and x2 = -9 }
iv. { x | x is a real number and x = 2x + 1 }
b. Let A = {1, 2, 3, 4, 5}. Which of the
following sets are equal to A?
i. {4, 1, 2, 3, 5}
ii. {2, 3, 4}
iii. { x | x is an integer and x2 <= 25 }
iv. { x | x is a positive rational number and x <= 5
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