Question

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

options.
1. lf p= a number is negative and q = the additive inverse is positive, the original statement is pq.
2. If p= a number is negative and q = the additive inverse is positive, the inverse of the original statement is -p
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3. If p= a number is negative and q = the additive inverse is positive, the converse of the original statement is -q -
mp.
4. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is
map - -
5. 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 pq, the inverse of the original statement is -p, and the converse of the original statement is q- p.

Step-by-step explanation:

The correct options are:

1. If p= a number is negative and q = the additive inverse is positive, the original statement is pq.
2. If p= a number is negative and q = the additive inverse is positive, the inverse of the original statement is -p.
3. If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q- p.

To determine which options are true, we need to understand the terms used in the statement:

• The original statement states that if a number is negative, the additive inverse is positive.
• A number is negative if it is less than zero (-1, -2, -3, etc.).
• The additive inverse of a number is another number that, when added to the original number, gives a sum of zero. For example, the additive inverse of 5 is -5, because 5 + (-5) = 0.

Based on this understanding, we can determine that the options 1, 2, and 5 are true because they accurately represent the original statement and its related concepts.