The symmetric difference of two sets A and B, denoted by A Δ B, is mathematically equivalent to:
(A ∪ B) − (A ∩ B)
(A − B) ∩ (B − A)
(A ∪ B) ∩ (A ∩ B)
A ∪ B
Explanation: The symmetric difference is the set of elements in A or in B, but not in both. This can be expressed as (A ∪ B) − (A ∩ B) or (A − B) ∪ (B − A).
Question 2 of 6hard
Consider the set A = {x : x is a rational number and x² = 2}. Set A is a:
Singleton set
Finite set with two elements
Infinite set
Empty set
Explanation: The equation x² = 2 has solutions x = √2 and x = −√2, both of which are irrational numbers. Since no rational number satisfies this, A is an empty set.
Question 3 of 6hard
If n(A)=6, then number of proper non-empty subsets is:
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