Log In
1 vote
Determine whether following conditional statement is true or false

-If 1+1 =3, then 2+2=4.

According to me the answer should be false, but in book its given true. Can anyone explain how it is true?
in Mathematical Logic 389 views

1 Answer

4 votes

Given statement -If 1+1 =3, then 2+2=4.

Since the hypothesis(1+1=3) is false and the conclusion(2+2=4) is true, this conditional statement is true.

You can also check from the table directly.

Here p= 1+1 =3  and q=2+2=4

p q p$\rightarrow$q
0 0 1
0 1 1
1 0 0
1 1 1

edited by

Related questions

2 votes
1 answer
Let p, q, and r be the propositions p: you get an A on the final exam. q: You do every exercise in this book. r: You get an A in this class. How can I write these propositions using p, q, and r and logical connectives? a.) You get an A in this class, but you do ... class. f.) You will get an A in this class if and only if you either do every excercise in this book or you get an A on the final.
asked Jul 31, 2016 in Mathematical Logic Aakanchha 634 views
0 votes
0 answers
How many bit strings of length eight contain either three consecutive 0s or four consecutive 1s?
asked May 26, 2017 in Combinatory Ishan 189 views
0 votes
0 answers
For these sentence, determine whether an in￾clusive or, or an exclusive or, is intended. Explain your answer. b) A password must have at least three digits or be at least three digit or be atleasat eight characters long
asked Jan 19, 2019 in Mathematical Logic pelluruadi 115 views
0 votes
1 answer
1. Which of these sentences are propositions? What are the truth values of those that are propositions? a) Boston is the capital of Massachusetts. b) Miami is the capital of Florida. c) 2+3 = 5. d) 5+7 = 10. e) x +2 = 11. f) Answer this question. A small ... the answer till e) what is answer for f) as I am thinking I can answer this question or I will not answer this question is it a proposition?
asked Feb 15, 2019 in Mathematical Logic Ravi kumar singh 169 views