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Examine whether the following statements...

Examine whether the following statements are true or false:
(i) { a, b } ⊄ { b , c, a }
(ii) { a , e } ⊂ { x : x is a vowel in the English alphabet}
(iii) { 1, 2, 3 } ⊂ { 1, 3, 5 }
(iv) { a }⊂ { a, b, c }
(v) { a }∈ { a , b, c }
(vi) { x : x is an even natural number less than 6} ⊂ { x : x is a natural number which divides 36}

Text Solution

AI Generated Solution

To determine whether the given statements are true or false, we will analyze each statement one by one. ### Solution: **(i)** { a, b } ⊄ { b, c, a } - A set A is a subset of set B (denoted A ⊆ B) if every element of A is also an element of B. - Here, { a, b } contains elements 'a' and 'b', and both 'a' and 'b' are present in { b, c, a }. ...
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