Question

In: Advanced Math

1) a.   Which of the following sets are the empty set? i.   { x | x...

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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