Chapter 1: Sets

Exercise

Question

Question: 6

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Let U be the set of all triangles in a plane. If A is the set of all triangles with at least one angle different from 60°, what is A'?

Answer

1
Find the complement of set A by finding the elements of set U that are not elements of set A.
Answer: Set of all equilateral{math_tip:def_equilateral_triangle} triangles.
Reason: Triangles either have all angles equal to 60° or at least one angle different from 60°. Therefore, after removing the triangles with at least one angle different from 60°, only equilateral triangles remain.
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