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.

The three options are;

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

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

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

Step-by-step explanation:

Given a statement if p then q, we have, p → q. The converse of the original statement is then, if q, then p while the inverse of the original statement is then if not p then not q, and the contrapositive statement is then if not q then not p

Mathematically, we have;

The given conditional statement;

If a number is negative, the additive inverse is positive which can be expressed as follows;

The conditional statement is p → q

The converse statement is q → p

The inverse statement is ~p → ~q

The contrapositive statement is ~q → ~p

Therefore, we have;

1) The conditional statement, if p = a number is negative and q = the additive inverse is positive, the original statement which is a conditional statement is therefore p → q

2) If p = a number is negative and q = the additive inverse is positive, the original statement, which is a conditional statement is p → q, the inverse of the original conditional statement is therefore, ~p → ~q

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

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step-by-step explanation:

answer: 4 (:

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