17. Write each of the follov g propositions symbolically by first defining p and

Question

17. Write each of the follov g propositions symbolically by first defining p and q a. If you study, then you will succeed. 1#x > 0, then x2 > 0. c. Kayleigh can go to the movies if Kayleigh does her homework. d. If x is odd and y is odd, then xy is odd. e. If x is odd and y is odd, then xty is odd. f. If sets A and B are disjoint, then l AuBI IAl+BI 18. Write the inverse of each of the propositions in exercise 17. 19. Write the converse of each of the propositions in exercise 17 20. Write the contraposition of each of the propositions in exercise 17.

Explanation / Answer

17)

a) If you try you will succeed

P -> Q

b)if x >0 then x2 > 0

P ->Q

c)Kayleigh can go to movie if kayleigh did her homework

P->Q

d) If x is odd and y is odd then xy is odd

P x and y is odd

Q xy is odd

P-> Q

e) If x is odd and y is odd then x+y is odd

P x and y is odd

Q x+y is odd

P -> Q

f) if Sets A and B are disjoints then | A U B | =| A| + |B|

P Sets A and B are disjoint

Q | A U B | = | A | +| B|

P -> Q

18 Converse: Q P (Change position)

19 Inverse: ~P ~Q (Change sign)

20 Contrapositive: ~Q ~P (Change both position and sign)

p> q

Statement If p , then q . Converse If q , then p . Inverse If not p , then not q Contrapositive If not q , then not p

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.