Question

Let A = {all quadrilaterals}, B = {all rectangles}, C ={all squares} and D = {all rhombuses} in a plane. State, giving reasons, whether the following statements are true or false:
(i) B is a proper subset of C is a proper subset of A
(ii) C is a proper subset of B is a proper subset of A
(iii) C is a proper subset of D is a proper subset of A
(iv) D is a proper subset of C is a proper subset of A
(v) A is a superset of B is a superset of C
(vi) A is a subset of B is a subset of C​

Answer 1

Answer:

B⊂A IS THE ANSWER.

It is so because all of the given figures Square, Rectangle , Trapezium and Rhombus fall under the category of Quadrilaterals .In addition to that Set A(Quadrilaterals) also contains Trapezoids , Kites etc.So B is a proper subset of A.

Step-by-step explanation:

Answer 2

Answer:

a-false

b-true

c-true

d-false

e-true

f-false