Chapter 1: Sets

Exercise

Question

Question: 1 (v)

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

(v) {x : x is a triangle in a plane} ___ {x : x is a rectangle in the plane}

Answer

1
Determine whether all elements of the first set are also elements of the second set.
Answer: {x : x is a triangle in a plane} $⊄$ {x : x is a rectangle in the plane}
Reason: The first set consists of all triangles, while the second set consists of all rectangles. Since no triangle is a rectangle, no element of the first set belongs to the second set. Therefore, the first set is not a subset of the second set.
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