Question

The following statement is true for a nonzero number?

1) It is always positive
2) It is always negative
3) It can be positive or negative
4) It is always zero

Answer 1

A nonzero number can be positive or negative.

Step-by-step explanation:

The statement 'The following statement is true for a nonzero number' is asking about the characteristics of a nonzero number. A nonzero number is a number that is not equal to zero. So, let's go through the given options:

1. It is always positive: This option is incorrect because a nonzero number can be positive, negative, or zero.
2. It is always negative: This option is also incorrect for the same reason as option 1.
3. It can be positive or negative: This option is correct because a nonzero number can take on either a positive or negative value.
4. It is always zero: This option is incorrect because a nonzero number, by definition, cannot be zero.

Therefore, the correct answer is option 3. A nonzero number can be positive or negative.