What is the answer to |b+1|-6=-2 ?

The answer to |b+1|-6=-2 is b=-5\lor b=3

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|b+1|-6=-2

∣ b + 1 ∣ - 6 = - 2

b = - 5 or b = 3

Solution steps

∣ b + 1 ∣ - 6 = - 2

Move

6

to the right side

∣ b + 1 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

b + 1 = - 4 or b + 1 = 4

b + 1 = - 4 or b + 1 = 4

b = - 5 or b = 3

4 = \frac{c}{4}

∣ 3 x - 1 ∣ = x + ∣ 2 - x ∣

∣ x - 1 ∣ + 17 = 23

\frac{x ^{2}}{4} = 1

∣ x + 9 ∣ + ∣ x - 3 ∣ + ∣ x + 7 ∣ + ∣ x - 4 ∣ = 8