Chapter 1: Sets

Exercise

Question

Question: 1 (vii)

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Make correct statements by filling in the symbols ⊂ or ⊄ in the blank spaces:

(vii) {x : x is an even natural number} ___ {x : x is an integer}

Answer

1
Determine whether all elements of the first set are also elements of the second set.
Answer: {x : x is an even natural number} $⊂$ {x : x is an integer}
Reason: Every even natural{math_tip:def_natural_number} number is also an integer{math_tip:def_integer}. Therefore, the first set is a subset of the second set.
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