What is the answer to 3=|x+1|-|x-2| ?

The answer to 3=|x+1|-|x-2| is x>= 2

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3=|x+1|-|x-2|

3 = ∣ x + 1 ∣ - ∣ x - 2 ∣

x \geq 2

Solution steps

3 = ∣ x + 1 ∣ - ∣ x - 2 ∣

Find positive and negative intervals

x < - 1, - 1 \leq x < 2, x \geq 2

Solve the inequality for each interval

No Solution or x \geq 2

Merge Overlapping Intervals

x \geq 2

\frac{1}{3} ∣ 5 J + 2 ∣ + 11 = 2

∣ x - 1 ∣ = x^{2} - 1

∣ 6 n - 9 ∣ = 3

\frac{x}{2} - 5 = 9

∣ - 3 x - 6 ∣ = 15