please answer all of these if possible. Thank you Show your work to receive full

Question

please answer all of these if possible. Thank you

Show your work to receive full credit. 2. Which of these are propositions? What are the truth values of those that are propositions? a) Do not pass go b) What time is it? c) There are no black flies in Maine d) 4 + x = 5 e) The moon is made of green cheese f) 2n 2 100 4. What is the negation of each of these propositions? a) Jennifer and Teja are friends b) There are 13 items in a baker's dozen c) Abby sent more than 100 text messages every day d) 121 is a perfect square 8. Let p and q be the propositions p I bought a lottery ticket this week qI won the million dollar jackpot Express each of these propositions as an English sentence b) p v q C) p q e)p+q 16. Determine whether these biconditionals are true or false a) 2 + 2 = 4 if and only if 1 +1=2 b) 1 + 1 = 2 if and only if 2 + 3 = 4 c) 11 3 if and only if monkeys can fly d) 0> 1 if and only if 2>1 22. Write each of these statements in the form "if p, then q" in English. [Hint: Refer to the list of common ways to express conditional statements provided in this section.] a) It is necessary to wash the boss's car to get promoted b) Winds from the south imply a spring thaw c) A sufficient condition for the warranty to be good is that you bought the computer less than a year ago d) Willy gets caught whenever he cheats e) You can access the website only if you pay a subscription fee f) Getting elected follows from knowing the right people g) Carol gets seasick whenever she is on a boat.

Explanation / Answer

Hi,

Ans 8-
a) It is not true that I bought a lottery ticket this week.
b) I bought a lottery ticket this week or I won the million dollar jackpot.
c) If I buy a lottery ticket this week then I win a million dollar jackpot.
d) I bought a lottery ticket this week and I won the million dollar jackpot.
e) I won the million dollar jackpot iff I bought a lottery ticket this week
f) If I did not buy a lottery ticket this week then I would not win the million dollar jackpot.
g) I did not buy a lottery ticket this week and I did not win the million dollar jackpot.
h) I did not buy a lottery ticket this week or I bought a lottery ticket this week and I won the million dollar jackpot.

Ans 4-
a) Jennifer and Teja are not friends
or
It is not true that Jennifer and Teja are friends
b) It is not true that there are 23 items in a baker's dozen.
c) It is not true that Abby sent more than 100 text messages every day.
d) 121 is not a perfect square.

Ans 16-
a) true
b) false
c) false
d) false

Ans 22-
correct answers are-
b, c, e, g,

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