Answer:
b =0
Step-by-step explanation:
The only value where |b| = -b is when b=0
|0| = -0
0 = 0
Absolute value means non- negative
non-negative = negative
This is only true when we equal zero
Answer: b = 0 or anything negative (like b = -2)
So any value of b such that [tex]b \le 0[/tex]
==================================================
Explanation:
|b| is the distance from b on the number line to 0
The distance is never negative as negative distance does not make sense.
If b was some positive number, then |b| = b. For instance, |7| = 7. This shows 7 is seven units away from 0 on the number line.
----------
If b is negative or zero, then |b| = -b. Why? Because the result of |b| is the opposite of whatever negative b value you put in. For example, b = -2 leads to
|b| = |-2| = 2
while
-b = -(b) = -(-2) = 2
The two negatives cancel each other out to get a positive result.
This shows, |-2| = -(-2) = 2
Meaning that the location -2 is two units away from 0 on the number line.
