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 , i use here to mean a proper subset.
Some (but not all) obtuse triangles are isosceles, so we have that but there is at least one element, call it, such that but
No equilateral triangle is obtuse, so we have
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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