PLEASE HELP : LOGIC AND ALGORTHIMS need it fast! Which of the following sentence

Question

PLEASE HELP : LOGIC AND ALGORTHIMS need it fast!

Which of the following sentences are propositions? Watch out!! I am going to do good with this homework. Peter has a bank account. One of the famous new year resolutions is to get a driving license. 5 * 5 = 25 0 + 9 = 09 x^2 + y^2 = 100 I love to play football. We will have sunny days. Can you stop asking questions lad? How many rows appear in a truth table for each of the given compound propositions? (q rightarrow -p) (-p rightarrow -q) (p r t)doubleheatarrow (q t) How many columns can at most be in the truth table for each of the given compound propositions? (p -q) -) rightarrow (p q) (p rightarrow q) (-q rightarrow r) Give the truth value for the following expressions: 2 + 2 = 4 if and only if 1 + 1 = 2. If 2 + 2 = 4then 1 + 1 = 2. 121 is a perfect square. Getting an A on the final and doing every exercise in this book is sufficient for getting an A in this class. If Irvine is in California, then 7 is an even number.

Explanation / Answer

A proposition is a declarative sentence which is either true or false but not both.

1.a) Not a proposition :- it is not declaring any value.

b)yes it is proposition

c) yes it is predicting the value either true or false.

d)yes a proposition

e)yes a proposition

f)yes a proposition

2)

g)not a proposition

h)not a proposition

i)not a proposition

k)not a proposition

2)a)i) 2^2=4 rows

ii)2^4=16 rows

b)i) 6-columns

ii)7--columns

3)a) T<->T=T (true)

b)T->T=T (true)

c) True

d) T& F=F if both statement are true then it is true

e)irvine is in california=T 7 is an even number=F,,,,,,,t->f=f irvine is in california=T 7 is an even number=T,,,,,,,t->t=t

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