CL Liu Discrete Mathematics Chapter 1 Question 1.1

Question

Identify whether True or False. I know the answers but I just want to verify once. 

a) $\Phi \subseteq \Phi$

b) $\Phi \in \Phi$

c) $\Phi \subseteq \ \left \{ \Phi \right \}$

d) $\Phi \in \left \{ \Phi \right \}$

e) $\Phi \subseteq \Phi$

f) $\left \{ \Phi \right \} \in \Phi$

g) $\left \{ \Phi \right \} \subseteq \left \{ \Phi \right \}$

h) $\left \{ \Phi \right \} \in \left \{ \Phi \right \}$

i) $\left \{ a, b \right \} \subseteq \left \{ a, b, c, \left \{ a, b, c \right \} \right \}$

j) $\left \{ a, b \right \} \in \left \{ a, b, c, \left \{ a, b, c \right \} \right \}$

k) $\left \{ a, b \right \} \subseteq \left \{ a, b, \left \{ \left \{ a, b \right \} \right \} \right \}$

l) ${\left \{ a, b \right \}} \in \left \{ a, b, \left \{ \left \{ a, b \right \} \right \} \right \}$

m) $\left \{ a, \Phi \right \} \subseteq \left \{ a, \left \{ a, \Phi \right \} \right \}$

n) $\left \{ a, \Phi \right \} \in \left \{ a, \left \{ a, \Phi \right \} \right \}$

Comments

My answers:

a) T b) F c) T d) T e) F f) F g) T h) F i) T j) F k) T l) F m) F n) T

Please verify!

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Jaspreetsciworld

a and e are the same...and Both are true

and rest of others are correct.