Chapter 1: Sets

Exercise

Question

Question: 1 (iv)

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

(iv) {x : x is a circle in the plane} ___ {x : x is a circle in the same plane with radius 1 unit}

Answer

1
Determine whether all elements of the first set are also elements of the second set.
Answer: {x : x is a circle in the plane} $⊄$ {x : x is a circle in the same plane with radius 1 unit}
Reason: The first set contains circles of all possible radii, whereas the second set contains only circles with radius 1 unit. Therefore, the first set is not a subset of the second set.
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