Question

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.

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