a = {x : x∈n and x²x≤36}, then A equals to?
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Subject:
Math -
Author:
randallm7kw -
Created:
1 year ago
Answers 1
Answer
{1, 4, 7}
Detailed Solution
Concept:
Symmetric Difference of two Sets: Let A and B be two sets. The symmetric difference of sets A and B is the set (A - B) ∪ (B - A) and is denoted as A Δ B.
i.e A Δ B = (A - B) ∪ (B - A)
The Venn diagram representation of symmetric difference of two sets is shown below
F2 A.K 23.5.20 Pallavi D7
Calculation:
Given: A = {x: x ∈ N and x2 < 36} and B = {x: x ∈ N and x is a prime number less than 9}
The elements of set A are: 1, 2, 3, 4, 5
i.e A = {1, 2, 3, 4, 5}
Similarly, the elements of set B are: 2, 3, 5, 7
i.e B = {2, 3, 5, 7}
As we know that, A Δ B = (A - B) ∪ (B - A)
⇒ A - B = {1, 4} and B = {7}
⇒ A Δ B = (A - B) ∪ (B - A) = {1, 4, 7}
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Author:
norar5nt
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