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

The answer to 1+|x|=|x+1| is x>= 0

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1+|x|=|x+1|

1 + ∣ x ∣ = ∣ x + 1 ∣

x \geq 0

Solution steps

1 + ∣ x ∣ = ∣ x + 1 ∣

Find positive and negative intervals

x < - 1, - 1 \leq x < 0, x \geq 0

Solve the inequality for each interval

No Solution or x \geq 0

Merge Overlapping Intervals

x \geq 0

∣ x - 1 ∣ + ∣ x - 2 ∣ + ∣ x - 3 ∣ = 2

∣ x - 1 ∣ + ∣ x - 2 ∣ + ∣ x - 3 ∣ = 6

x^{2} + x + 1 - x^{2} - x - 1 = 0

∣ 3 x - 5 ∣ = 4

∣ 3 - x ∣ = 5