Determine the truth for (p or q) -> ~p if p is false and q is true

Truth

Step-by-step explanation:

Note "or P or Q" is different from "P or Q".

To a phrase like "or P or Q" be true, P must be correct or Q must be correct, but P and Q must don't be true at the same time. To the sentence be false, both P and Q must be false.

Now, for a sentence in form "P or Q" is different: It means, for the sentence be true, something in sentence must be true (P or Q), but both can be true too. So, or P is true, or Q is true, or P and Q are true. In order to the sentence be false, P and Q must be false.

The sentence is "(P or Q) implies in (not P if P is false and Q is true)"

It's a "P or Q" sentence, so, to the first part be true, anything in the first part must be true. But can be just Q, just P, or both.

The second part says: P is not true if P is false and Q is true.

Ok, of course it's makes sense because P is not true if it is false, but Q needs to be true?

Yes, for "P or Q" sentences be true, anything in it must be true, we know because the second part that P is false, so to the truth for the sentence, Q must be truth.

So, the sentence it's true.

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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