Solve for all values of bb in simplest form.
open vertical bar, b, minus, 9, close vertical bar, equals, 20
∣b−9∣=
20
Answer
Attempt 1 out of 2
To solve for b, we first need to isolate the absolute value expression.
∣b−9∣ = 20
Since the absolute value of a number can be positive or negative, we need to consider both cases.
Case 1: b - 9 = 20
If b - 9 = 20, then b = 20 + 9 = 29.
Case 2: -(b - 9) = 20
If -(b - 9) = 20, then -b + 9 = 20.
Solving for b, we subtract 9 from both sides: -b = 20 - 9 = 11.
Then, multiplying both sides by -1 to isolate b, we have b = -11.
The two solutions for b are b = 29 and b = -11.