Discrete mathematics & its applications with combinatorics and graph theory-kenneth H rosen

Question

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?

Answer 1

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