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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 by Junior (655 points) | 323 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
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