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.
Accepted Solution
A:
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