Question

question 7
module 3 review mt
select whether the conjecture is true or false.
if x is an integer, then -x is positive.
select choice

Explanation:

Step1: Understand the conjecture

The conjecture is: If \( x \) is an integer, then \( -x \) is positive. We need to check if this is always true.

Step2: Test with examples

• Let's take a positive integer, say \( x = 2 \) (an integer). Then \( -x=- 2 \), which is negative, not positive.
• Another example: \( x = 0 \), then \( -x = 0 \), which is not positive.
• If \( x=-3 \) (an integer), then \( -x = 3 \) (positive), but since there are cases (like \( x = 2 \) or \( x = 0 \)) where \( -x \) is not positive, the conjecture is false.

Answer:

False