Question

3+5>7 if and only if 4+6<10 find truth value ​

Answer 1

Answer:

We have 3 + 5 > 7 4 + 6 < 10 In 4 + 6 < 10 subtract - 2 ⇒ 4 + 6 - 1 - 1 < 10 - 1 - 1 ⇒ 4 - 1 + 6 - Hence statement is false .

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Answer 2

Truth Value

Let p stands for $3+5>7$.

Let q stands for $4+6<10$.

Let r denotes 'p if and only if q'.

Clearly statement p is correct as $8>7$, means p is true.

Statement q is false as $10<10, is \ incorrect$.

As one is true and other is false , the $p$↔$q$, truth value will be false.

IF AND ONLY IF, is a biconditional statement, meaning that either both statements are true or both are false. The truth table of "iff" or "if and only if" is attached.