Question

Given the original statement "If a number is negative, the additive inverse is positive," which are true? Select three options.

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 ~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.

Answer 1

The original statement is p → q. The inverse of the original statement is -p → -q. The contrapositive of the original statement is also -p → -q.

Step-by-step explanation:

The original statement is p → q, where p represents a number being negative and q represents the additive inverse being positive.

The inverse of the original statement is -p → -q, where -p represents a number being positive and -q represents the additive inverse being negative.

The contrapositive of the original statement is also -p → -q.