The universal set E is the set of all triangles. Given that
A = { isosceles triangle }
B = { equilateral triangle }
C = { obtuse -angled triangle }
Illustrate the sets A, B and C within a Venn diagram.
Thanks.
one more hint to take it home, you can view these as answers to CaptainBlack's questions.
All equilateral triangles are isosceles, so we have $\displaystyle B \subset A$, i use $\displaystyle \subset$ here to mean a proper subset.
Some (but not all) obtuse triangles are isosceles, so we have that $\displaystyle A \cap C \ne \emptyset$ but there is at least one element, call it, $\displaystyle x$ such that $\displaystyle x \in C$ but $\displaystyle x \not \in A$
No equilateral triangle is obtuse, so we have $\displaystyle B \cap C = \emptyset$
Now can you draw a Venn Diagram? Recall, we represent the universal set by a large rectangle, in which our sets are contained. our other sets, we represent as circles that may or may not overlap.
Hello Guys,
Thanks Captain, I was almost near to the solution.
As my findinds are :
B = An equilateral triangle has 3 equal sides.
A = An isosceles triangle has 2 equal sides.
C All equilateral triangles are isosceles.
So, Set B is entirely in set A. Set B and C dont overlap. An isosles trinagle can be obtuse. So set A and C overlap each other.
thanks.
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