Problem 1 30 pts Let A 1 2 3 B 0 0 CO D0 12 Indicate wheth

Problem 1 (30 pts) Let A = {1, 2, 3), B = {{0), 0}, C-O, D-(0, 1.2). Indicate whether each of the following propositions is true or false. a) 2 E A b) 4 A c) (1,3) E A d) (1,3) cA e) (13)) A h) 0 E C A and B are disjoint j) k) B and C are disjoint m) CED n) (C) E B

Solution

1 a.True

b.True

c.True

d.True

e.False

f.True

g.False

h.False

i.True

j.True

k.False

l.True

m.False

n.False

o.False

2 a. {x | x is a perfect square of all natural numbers }

b. {x | x is an integer that are sum of two distinct perfect squares}

c.{x | x is integer of all halves}

3. A super set can be odd.