1. Given the sets F = {2, 4, 6, 8, 10, 12} and G = {6, 7, 9, 12, 13}:a.
Fill in the blanks below with the symbol ∈ or ∉.
i. 4 ___ F
ii. 6 ___ G
iii. 7 ___ F
iv. 12 ___ G
b. Identify n(F) and n(G).2.
Why is it necessary to know whether an object belongs to a set? How do you compare this to the concepts of family and friendship
Fill in the blanks below with the symbol ∈ or ∉.
i. 4 ___ F
ii. 6 ___ G
iii. 7 ___ F
iv. 12 ___ G
b. Identify n(F) and n(G).2.
Why is it necessary to know whether an object belongs to a set? How do you compare this to the concepts of family and friendship
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Answer:
i. ∈
ii. ∈
iii. ∉
iv. ∈
Explanation:
∈ means "is an element of" while ∉ means "is NOT an element of". Therefore, 4 ∈ F because 4 is an element of F or 4 is included in Set F.
7 ∉ F because 7 is not an element of F or 7 is not included in Set F, rather it is in Set G
b. ?
2. So that it can be a well-defined set. Understanding sets can help us organize and categorize objects etc.