Question

Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14,18, 20}.
(a) State whether True or False:
(i) 18 ! C (ii) 6 gA (iii) 14 g C (iv) 10 ! B
(v) 5! B (vi) 0 ! B
(b) Fill in the blanks:
(i) 3 ! ____ (ii) 14 ! _____ (iii) 18 ____ B (iv) 4 _____ B

Answer 1

you did typing mistake . Maybe ! Means ∈ and g means ∉

given,
A = {0,3,5,8}
B = {2,4,6,10}
C = 12,14,18,20}

(I) 18 ∈ C ,We see 18 contains in C , so 18 belongs to C .So, It is true.
(ii) 6 ∉ A , it is true because 6 doesn't belong to A
(iii)14 ∉C , it is false because 14 belongs to C
(iv)10∈B , it is true, because 10 belongs to B
(v) 5∈ A , it is true, because 5 belongs to A
(vi) 0 ∈ A, it is true, because 0 belongs to A.

(i) 3 ∈ A [ 3 belongs to A ]
(ii)14 ∈ C [ 14 belongs C ]
(iii)18 ∉ B [ 18 doesn't belong to B]
(iv) 4 ∈ B [ 4 belongs to B]