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if frita goes to the mall, then alice will go to the mall

If Frita Goes To The Mall Then Alice Will Go To The Mall class=

Sagot :

Given

The statements,

If Frita goes to the mall, then Alice will go to the mall.

If Wally goes to the mall, then Frita will go to the mall.

To find: The conclusion using the law of Syllogism.

Explanation:

It is given that,

If Frita goes to the mall, then Alice will go to the mall.

If Wally goes to the mall, then Frita will go to the mall.

That implies,

If Wally goes to the mall, then Frita will go to the mall.

If Frita goes to the mall, then Alice will go to the mall.

Here, consider the statement Wally goes to the mall as p, the statement Frita will go to the mall as q, and the statement Alice will go to the mall as r.

Therefore,

[tex]Conclusion:\text{ }If\text{ }Wally\text{ }goes\text{ }to\text{ }the\text{ }mall,\text{ }then\text{ }Alice\text{ }will\text{ }go\text{ }to\text{ }the\text{ }mall.[/tex]

Hence, the answer is option C).