 | Term | Definition |
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what is a set ? |
a set is a well defined collection of objects |
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the greek symbol 'epsilon' stands for____ __ |
belongs to |
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what is a set which does not contain any element called ? |
empty set ø |
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(a,b) is |
and open interval |
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[a,b] is |
a closed interval |
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[a,b) is |
an open interval , from a to b , including a but excluding b |
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(a,b] is |
an open interval from a to b , including b but excluding a |
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define power sets |
the collection of all the subsets of a set A is called the power set of A. it is denoted by P(A) |
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state the commutative law (union) |
A u B = B u A |
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state the associative law (union) |
(A u B) u C = A u (B u C) |
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state the law of identity element |
A u ø = A |
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state idempotent law (union) |
A u A = A |
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state law of U |
U u A =U |
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state the commutative law (intersection) |
A ∩ B = B ∩ A |
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state the law of empty set and U |
ø ∩ A = ø , U ∩ A = A |
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state the idempotent law (intersection) |
A ∩ A = A |
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state the distributive law |
a ∩ (B u C) = (A ∩ B) u (A ∩ C) |
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state the complement laws |
A u A' = U , A ∩ A' = ø |
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state de morgans laws |
(A u B)' = A' ∩ B' , (A ∩ B)' = A' u B' |
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state the law of double complementation |
(A')' = A |
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state the law of empty set and universal set |
(ø) ' = U , U' = ø |
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1. |
N(A u B) = n(A) + n(B) - n (A ∩ B) |
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2. |
N(A u B u C) = n (A) + n(B) + n(C) - n(A ∩ B) - n (B ∩ C) - n (A ∩ C) + n (A ∩ B ∩ C) |
