First slide

Operations on Sets

Question

Let F₁ be the set of parallelograms, F₂ the set of rectangles, F₃ be the set of rhombuses, F₄ be the set of squares and F₅ be the set of trapeziums in a plane. Then F₁ may be equal to

Moderate

A

$F_{2} \cap F_{3}$
B

$F_{3} \cap F_{4}$
C

$F_{2} \cup F_{5}$
D

$F_{2} \cup F_{3} \cup F_{4} \cup F_{1}$

Solution

Every rectangle, rhombus, square in a plane is a parallelogram
but every trapezium in not a parallelogram
$∴ F_{1} = F_{2} \cup F_{3} \cup F_{4} \cup F_{1}$

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