if x

Question

is a negative number, which of the following statements is false?

-x is to the left of zero.


x is to the left of zero.

-x>0

x<0

Answer 1

If $x$ is a negative number, let's analyze each statement:

1. -x is to the left of zero.
   Since $x$ is negative, $-x$ (which is the opposite of a negative number) will be positive and therefore to the right of zero.
   This statement is false.

2. x is to the left of zero.
   This is true. Negative numbers are indeed to the left of zero.

3. -x > 0
   Since $-x$ is positive (because $x$ is negative), this statement is true.

4. x < 0
   This is true, as $x$ is given to be a negative number.

So, the false statement is: -x is to the left of zero.