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If \(A\) and \(B\) are any sets, \(n(A) = 5,n(B) = 5,\) then which relation satisfy for \(A\) and \(B\)?
and are any sets.
But we canโt say that and . Both have equal elements.
As , these and are said to be similar.
.
If \(A,B\) and \(C\) be any sets. Then \(A \times (B \cup C)\) is equal to
.
If \(A,B\) and \(C\) be sets, then \(A – (B \cup C)\) is equal to
and be sets
Let
and
and
and
and
.
If \(A,B\) and \(C\) be sets, then \((A \cap B) – C\) Is equal to
and and
and and
and
.
If \(A,B\) and \(C\) be sets. Then \(A \times (B \cap C)\) is equal to
.
If \(A,B\) and \(C\) be sets. Then is
and be sets.
Let
and
and and or and
and and or and and
and or and
or
.
If \(A\) and \(B\) two sets, then \(P(A) \subset P(B)\) is related to
and be sets.
Let
and are nonnegative integers
If and only if .
If \(A = \{ x,y\} ,\) then \(A \times A\) is equal to
If
Then .
Let \(\left A \right = m,\left B \right = n,\) then number of elements in \(A \times B\) is equal to
.
Let \(\left A \right = 2,\left B \right = 3,\) then \(\left {P(A \times B)} \right\) is equal to
.
If \(\left A \right = 2\) and \(\left B \right = 4,\) then \(\left {A \times B} \right\) is equal to
.
.
If \(A\) and \(B\) be any sets, then \((A \cup B) – (A \cap B)\) is equal to
and
and or
or or or
and or and
and or and
or
.
If \(A = \{ x,y\} ,\) then \(\left {P(P(A \times A))} \right\) is equal to
.
If \(A\) and \(B\) be two sets. \(A = \{ x:x \in z, – 4 \le x < 4\} \) and \(B = \{ x:x\) is a natural number\(\} \) then \(n(A – B)\) is equal to
and is a natural number
.
If \(A = \{ 1,2,3,4,5,6\} \) and \(B = \{ 2,4,6,…\} \) (set of all even numbers) then \(\left {P(A – B)} \right\) is equal to
and
.
If \(A = \left\{ {2,4,7,9} \right\}\)and \(B = \left\{ {4,5,6,7} \right\}\) then \(A\Delta B\)is
and
If A and B be sets, then \({\left( {A \cup B} \right)^c}\)is equal to
Let
If A and B be any sets, then \({\left( {A \cap B} \right)^c}\)is equal to
A and B be any sets. Let
If A and B two sets, \(\left {A \cup B} \right = \left A \right + \left B \right\), then \(A \cap B\)is
Here,
Hence,
If A, B and C be any sets, \(\left {A \cup B \cup C} \right = \left A \right + \left B \right + \left C \right\), then \(\left {A \cap B} \right\) equal to
We know,
Here,
If \(A = \left\{ {x:x \in N,2 \le x \prec 9} \right\}\)and \(B = \left\{ {x:x \in Z, – 4 \le x \le 3} \right\}\), then \(\left {A\Delta B} \right\)is equal to
If \(A = \left\{ {2,3,4,5} \right\},B = \left\{ {1,6,9,11} \right\}\)and \(C = \left\{ {7,8,10} \right\}\), then what is the relation between A, B and C?
, then. Since,, then A, B and C are disjoint sets.
N={Set of natural numbers}
Z={Set of integers}
N*={Set of whole numbers}
What will be the relation between N, N* and Z?
If \(A = \left\{ {x,y} \right\},B = \left\{ {x,a,b} \right\}\), then \(\left( {A \times B} \right) \cap \left( {B \times A} \right)\) is equal to
If \(A = \left\{ {x:\left {5x – 9} \right \prec 6,x \in R} \right\}\), then A is equal to
.