Answer to Question #266301 in Discrete Mathematics for Bjoy

Question

C. Given A= {d}, B= {c, d}, C= {a, b, c}, D = {a, b}, E= {a, b, d}. Determine whether the following statements are True or False. 10. 𝐴 ⊂ 𝐵

11. 𝐶~𝐷

12. 𝐷 ⊈ 𝐸

13. n(C) =3

14. C and D are joint sets

15. E has 16 subsets D. Consider the following sets:

Answer 1

10. $A\subset B$

$A\subset B$$A$ is a set,

$A$ is contained in $B$,

$A$ is not equal to $B$

Then the statement is True.

11. $C\sim D$

The statement is True.

12. $𝐷 ⊈ 𝐸$

Every element of set $D$ is also in set $E$

$D$ is contained and not equal to $E.$

Then the statement is False.

13. $n(C)=3$

The number of elements in set $C$ is 3.

Then the statement is True.

14. $C$ and $D$ are joint sets

$C\cap D=D$

Then the statement is True.

15. $E$ has 16 subsets.

Number of subsets =8

$\{\},\{a\},\{b\},\{d\},\{a,b\},\{a, d\},\{b, d\},\{a,b, d\}$

Then the statement is False.