If p∨q is true, then what must be true about the truth values of p and q?

Where p and q are statements, "p and q" is false if

p is false.

Which of the following statements is the contrapositive of "If I have money, then I spend it"?

If I don't have money, then I don't spend it.

If I spend money, then I have it.

If I don't spend money, then I don't have it.

Question

Mathematics

Javier Dillon

Today, 12:08

If p∨q is true, then what must be true about the truth values of p and q?

Where p and q are statements, "p and q" is false if

p is false.

Which of the following statements is the contrapositive of "If I have money, then I spend it"?

If I don't have money, then I don't spend it.

If I spend money, then I have it.

If I don't spend money, then I don't have it.

+3

Answers (2)

Know the Answer?

Tate Blair · Answer 1

Switching the hypothesis and conclusion of a conditional statement and negating both. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining." Note: As in the example, the contrapositive of any true proposition is also true.

Therefore, the answer would be:

If I don't spend money, then I don't have it.

Angelica Goodman · Answer 2

Hello there.

If p∨q is true, then what must be true about the truth values of p and q?

Where p and q are statements, "p and q" is false if

p is false.

Which of the following statements is the contrapositive of "If I have money, then I spend it"?

If I don't spend money, then I don't have it.