Sets of A= {Regular polygons} B={Triangles},C={Quadrilaterals} Find by 1)A ∩ B, 2) A ∩ C, 3) A-B, 4) A-C
Answers
A ∩ B = {Equilateral triangles}.
A ∩ C = {Square}.
A - B = {regular polygons except equilateral triangle}.
A - B = {regular polygons except square}.
Step-by-step explanation: According to the given information, we have the following sets :
A= {Regular polygons}, B={Triangles} and C={Quadrilaterals}.
The common part of sets A and B are the regular triangles, that is, the triangles having all the three sides equal (Equilateral triangle).
So, A ∩ B = {Equilateral triangles}.
The common part of sets A and C are the regular quadrilaterals, that is, the quadrilaterals having all the four sides equal (Square).
So, A ∩ C = {Square}.
The set A - B contains all the regular polygons except equilateral triangles.
So, A - B = {regular polygons except equilateral triangle}.
The set A - B contains all the regular polygons except squares.
So, A - B = {regular polygons except square}.