Given the original statement "If a number is negative, the additive inverse is positive," which are true? Check all that apply.

If p = a number is negative and q = the additive inverse is positive, the original statement is p → q.

If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q.

If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is q → p.

If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.

If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q → p.

Question

Mathematics

Lane Bradley

21 October, 21:44

Given the original statement "If a number is negative, the additive inverse is positive," which are true? Check all that apply.

If p = a number is negative and q = the additive inverse is positive, the original statement is p → q.

If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q.

If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is q → p.

If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.

If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q → p.

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Answers (1)

Know the Answer?

Killian · Answer 1

If a number is negative, the additive inverse is positive," = True

If p = a number is negative and q = the additive inverse is positive, the original statement is p → q. : False

If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q.: True

If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is q → p.: True

If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.: False

If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q → p.:False