Given the original statement "If a number is negative, the additive inverse is positive,” which are true? Select three options.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
A
If p = a number is negative and q = the additive inverse is positive, the original statement is p → q.
B
If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q.
C
If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~q → ~p.
D
If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.
E
If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q → p.