What is the answer to |x+4|-|x|=4 ?

The answer to |x+4|-|x|=4 is x>= 0

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|x+4|-|x|=4

∣ x + 4 ∣ - ∣ x ∣ = 4

x \geq 0

Solution steps

∣ x + 4 ∣ - ∣ x ∣ = 4

Find positive and negative intervals

x < - 4, - 4 \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^{2} - 9 = ∣ 3 - 4 x ∣ + 9

∣ x - 1 ∣ = ∣ 2 x - 1 ∣

∣ x - 2 ∣ + ∣ x - 6 ∣ = 2

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

∣ x - 6 ∣ + ∣ x - 3 ∣ = 1