The truth value of the statement “ 2+2=4 →1+1=5” is TrueGroup startsTrue or FalseTrue, unselectedFalse, unselected
Question
The truth value of the statement 2 + 2 = 4 → 1 + 1 = 5
is
- True
- False
Choose one:
- True, unselected
- False, unselected
Solution
The statement "2+2=4 →1+1=5" is a logical implication. In logic, an implication is a type of statement that says if one thing is true, then another thing will also be true.
The structure of an implication is "if P, then Q", where P is the premise and Q is the conclusion.
In this case, P is "2+2=4" and Q is "1+1=5".
P is true because 2+2 does indeed equal 4.
However, Q is false because 1+1 does not equal 5, it equals 2.
In logic, an implication is only false if the premise is true and the conclusion is false.
Therefore, the truth value of the statement "2+2=4 →1+1=5" is false.
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