Question

Найдите значение b, если |b|-b=12

Answer 1

Модуль убирает минус, а два минуса рядом это плюс, поэтому ответ B=-6

Answer 2

To find the value of b in the equation |b| - b = 12, we can solve it step-by-step. Remember that the absolute value function |x| is defined as follows:

• For x ≥ 0, |x| = x
• For x < 0, |x| = -x

Let's consider the two cases separately:

Case 1: b ≥ 0 In this case, |b| = b, so we can rewrite the equation as follows:

b - b = 12

Now, since any number subtracted from itself is always 0, we get:

0 = 12

But this is not possible. So, there are no solutions in this case.

Case 2: b < 0 In this case, |b| = -b, so we can rewrite the equation as follows:

(-b) - b = 12

Now, let's combine like terms:

-2b = 12

To solve for b, divide both sides by -2:

b = 12 / -2

b = -6

So, the value of b that satisfies the equation is b = -6.