Consider the following statements about subset relations between sets: i. N ⊆ Z ii. R ⊆ N iii. Z⊆R Which of them are true? (a) Only (ii) (b) Both (i) and (ii) (c) Both (i) and (iii) (d) All of the above

Consider the following statements about subset relations between sets: i. N ⊆ Z

ii. R ⊆ N iii. Z⊆R

Which of them are true?

(a) Only (ii)
(b) Both (i) and (ii)

(c) Both (i) and (iii) (d) All of the above

Which of the following statements are true? (Select all the choices that apply)

(a) |N|=|Z| (b) |N|<|Z|

(c) |Z|=א0 (d) |R|>|Z|

Which of the following statements are tautologies? (Select all the choices that apply)

(a) P → Q (b) P ∧ ¬P (c) P ∨ ¬P

(d) P → P

The contrapositive equivalency of ¬Q → P is given by:

(a) P → Q (b) Q → P

(c) ¬P → Q (d) ¬Q→P