Chapter 1: Sets

Exercise

Question

Question: 1 (vi)

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

(vi) {x : x is an equilateral triangle in a plane} ___ {x : x is a triangle in the same plane}

Answer

1
Determine whether all elements of the first set are also elements of the second set.
Answer: {x : x is an equilateral triangle in a plane} $⊂$ {x : x is a triangle in the same plane}
Reason: Every equilateral{math_tip:def_equilateral_triangle} triangle is a triangle. Therefore, the first set is a subset of the second set.
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