What is the answer to |x+3|-|x-1|=x+1 ?

The answer to |x+3|-|x-1|=x+1 is x=-5\lor x=-1\lor x=3

Solve for x: |x+3|-|x-1|=x+1

The solution is x=-5\lor x=-1\lor x=3

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∣ x + 3 ∣ - ∣ x - 1 ∣ = x + 1

x = - 5 or x = - 1 or x = 3

Solution steps

∣ x + 3 ∣ - ∣ x - 1 ∣ = x + 1

Find positive and negative intervals

x < - 3, - 3 \leq x < 1, x \geq 1

Solve the inequality for each interval

x = - 5 or x = - 1 or x = 3

x^{2} + x - 6 = 0

∣ 3 x ∣ = 1

∣ 2 x - 1 ∣ = - x

x^{2} - 4 = ∣ x ∣ + 2

∣ 2 x - 5 ∣ = 25

What is the answer to |x+3|-|x-1|=x+1 ?
The answer to |x+3|-|x-1|=x+1 is x=-5\lor x=-1\lor x=3
Solve for x: |x+3|-|x-1|=x+1
The solution is x=-5\lor x=-1\lor x=3