Question

Which choice shows a true conditional with the hypothesis and conclusion correctly identified?

• if today is Wednesday, then tomorrow is Thursday.

Hypothesis: Tomrrow is Thursday. Conclusion: Today is Wednesday

• if today is Wednesday, then tomrrow is Thursday.

Hypothesis: Tomrrow is Thursday Conclusion: today is not Wednesday

• Tomrrow is Friday if today is Wednesday.

Hypothesis: Today is Wednesday Conclusion: Tomorrow is Friday

• tomrrow is Thursday if today is Wednesday.

Hypothesis: today is Wednesday Conclusion: Tomrrow is Thursday

Answer 1

Answer: Choice A

Explanation:

I'm bad at explaining things, sorry!

Answer 2

Tomorrow is Thursday if today is Wednesday

Hypothesis: Today is Wednesday .

Conclusion: Tomorrow is Thursday.

Explanation:

Given

1. If today is Wednesday , then tomorrow is Thursday.

Hypothesis p : Today is Wednesday .

Conclusion q : Tomorrow is Thursday .

Conditional statement:
`p\implies q`

But given

Hypothesis : Tomorrow is Thursday .

Conclusion: Today is Wednesday .

Converse statement;
`q\implies P`

Therefore, the given statement is converse not conditional.

2. If today is Wednesday , then tomorrow is Thursday.

Given

Hypothesis p: Tomorrow is Thursday.

Conclusion q: Today is not Wednesday.

Statement :
`q\implies \\eg p`

Hence, it is not a true conditional statement.

3.Tomorrow is Friday if today is Wednesday.

Given

Hypothesis: Today is Wednesday.

Conclusion: Tomorrow is Friday.

It is not a true conditional statement.

4. Tomorrow is Thursday if today is Wednesday.

Given

Hypothesis p: Today is Wednesday.

Conclusion q: Tomorrow is Thursday.

Then the statement :
`p\implies q`

It is a true conditional statement.Because when hypothesis true and conclusion is true then the conditional is true.