Write the expression without the absolute value sign:

|2b|, where b<0

When b is negative, the expression |2b| can be simplified as -2b.

To write the expression |2b| without the absolute value sign when b<0, we need to consider that the absolute value of a negative number is its positive equivalent.

Since b<0, we know that the value of b is negative. Therefore, to remove the absolute value sign, we need to make it positive.

To make a negative number positive, we multiply it by -1. So, to remove the absolute value sign from |2b|, we can express it as:

2b * -1

Therefore, the expression without the absolute value sign is -2b.

Thanks:)

recall the definition of |x|:

|x| = x if x >= 0
|x| = -x is x < 0

so, what do you think?