This statement is true p --> qP: 2+ 2=5q: 2 • 2 = 4This is conditional statementP is hypothesisQ is conculsionThe question says is it true or false? Why does it say that it's true. It seems false but the answer is that it's true. Could anyone explain why it is true?

Accepted Solution

Answer:True.Step-by-step explanation:p->q is a conditional statement with the following truth table:p         q               p->qT          T                 TT          F                 FF          T                 TF          F                 TThe hypothesis is the p value here.The conclusion is the q value here.The conditional statement is only considered false where the hypothesis is true but the conclusion isn't.So if the conclusion is true, then the statement is true no matter how ridiculous the hypothesis is.The conditional is also true when both parts are false.Anyways let's look at your conclusion: q: 2*2=4. Well 2*2=4 is true so I don't really care what the hypothesis says the result is the conditional is true. Furthermore, the 3rd row of my truth table corresponds to your situation since the hypothesis is false and the conclusion is true. This means your conditional has a true truth value.