- #1
majeedh
- 14
- 0
i was hoping somebody could help me with these problems
1) Are the following statements true or false?
(a) 2 є S, where
S= {x є R|x is the square root of an integer}
b) ø є {ø}
c) ø c ø
d) {{ø}} c {ø, {ø}}
e) {ø, {ø}, {ø, {ø}}} has the cardinality 4
f) {ø, {a}, {ø,a}} is the powerset of set of cardinaltiy 2
g) if A,B and C are sets such that AuC = BuC and AuC = BnC then A=B
also another problem I had was:
Prove that the square of an odd number is an odd
number using
proof by contradiction
1) Are the following statements true or false?
(a) 2 є S, where
S= {x є R|x is the square root of an integer}
b) ø є {ø}
c) ø c ø
d) {{ø}} c {ø, {ø}}
e) {ø, {ø}, {ø, {ø}}} has the cardinality 4
f) {ø, {a}, {ø,a}} is the powerset of set of cardinaltiy 2
g) if A,B and C are sets such that AuC = BuC and AuC = BnC then A=B
also another problem I had was:
Prove that the square of an odd number is an odd
number using
proof by contradiction
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