What is the answer to 4+2|x+1|=6 ?

The answer to 4+2|x+1|=6 is x=-2\lor x=0

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4+2|x+1|=6

4 + 2 ∣ x + 1 ∣ = 6

x = - 2 or x = 0

Solution steps

4 + 2 ∣ x + 1 ∣ = 6

Move

4

to the right side

2 ∣ x + 1 ∣ = 2

Divide both sides by

2

∣ x + 1 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 1 = - 1 or x + 1 = 1

x + 1 = - 1 or x + 1 = 1

x = - 2 or x = 0

∣ 5 b + 2 ∣ - 1 = 7

∣ d - 100 ∣ = 50

∣ - 10 n - 8 ∣ = 48

∣ 6 x ∣ = 7

ln ∣ y + 5 ∣ = x + ln (2)