The truth value of the statement) (1 + 2 = 7) → (2 * 5 = 10(( is trueGroup startsTrue or FalseTrue, unselectedFalse, unselected
Question
The truth value of the statement) (1 + 2 = 7) → (2 * 5 = 10(( is trueGroup startsTrue or FalseTrue, unselectedFalse, unselected
Solution
The statement is a logical implication, which is a type of conditional statement that says if P then Q. In this case, P is the statement "1 + 2 = 7" and Q is the statement "2 * 5 = 10".
Step 1: Evaluate the truth value of P (1 + 2 = 7) This statement is false because 1 + 2 equals 3, not 7.
Step 2: Evaluate the truth value of Q (2 * 5 = 10) This statement is true because 2 * 5 does indeed equal 10.
Step 3: Evaluate the truth value of the entire implication (P → Q) In logic, an implication is only false if the first statement (P) is true and the second statement (Q) is false. In all other cases, the implication is true. Since P is false and Q is true, the entire implication is true.
So, the truth value of the statement "(1 + 2 = 7) → (2 * 5 = 10)" is true.
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