Question

Is there a value of a that makes the statement |a| = - 2 true ? Explain your reasoning.

Answer 1

No, there is no value of a that makes the statement |a| = -2 true.

Explanation:

The absolute value of a number is the distance of that number from zero on the number line. It is always non-negative, so it can't be -2. The absolute value of a number is denoted by two vertical lines on either side of the number like this |a|.

For example, the absolute value of -5 is 5 and the absolute value of 5 is 5. In both cases, the distance from zero is 5.

In the statement |a| = -2, the absolute value of a is -2, which is impossible as the absolute value can't be negative. Therefore, there is no value of a that makes the statement true.

Answer 2

no

Explanation:

You want to know if there's any value of the variable 'a' that would make its absolute value be -2.

Absolute value

The absolute value of a number is always positive. There is no such thing as a number whose absolute value is negative, not -2 or any other negative number.

such a value of 'a' Does Not Exist (DNE)