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3 years ago

Why is 97 the answer

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

3 0

R u stupid?
Two less than 10 7 duh!!!!
Prime nothing besides 1 and 97 can be multiplied to get 97

Monica [59]3 years ago

3 0

Wow really bro what kind of quetion is that like really

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Use logical equivalences (not a truth table) to reduce p → (q − p) to a tautology t. In other words, you should transform p → (q

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Answer:

The statement $p\rightarrow (q\rightarrow p)$ is a tautology.

$p\rightarrow (q\rightarrow p)\equiv \lnot p\lor (q\rightarrow p) \equiv \lnot p\lor (\lnot q\lor p) \equiv (p\lor \lnot p) \lor \lnot q \equiv T \lor \lnot q \equiv T$

Step-by-step explanation:

We have the following statement:

$p\rightarrow (q\rightarrow p)$

To reduce the statement to a tautology we need to use the table of logical equivalences as follows:

$p\rightarrow (q\rightarrow p)\equiv$

$\equiv \lnot p\lor (q\rightarrow p)$ by the the logical equivalence involving conditional statement.

$\equiv \lnot p\lor (\lnot q\lor p)$ by the the logical equivalence involving conditional statement.

$\equiv (p\lor \lnot p) \lor \lnot q$ by the Associative law.

$\equiv T \lor \lnot q$ by the Negation law.

$\equiv T$ by the Domination law.

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