What is the answer to 2-|x|=|2-x| ?

The answer to 2-|x|=|2-x| is 0<= x<= 2

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2-|x|=|2-x|

2 - ∣ x ∣ = ∣ 2 - x ∣

0 \leq x \leq 2

Solution steps

2 - ∣ x ∣ = ∣ 2 - x ∣

Find positive and negative intervals

x < 0, 0 \leq x \leq 2, x > 2

Solve the inequality for each interval

No Solution or 0 \leq x \leq 2

Merge Overlapping Intervals

0 \leq x \leq 2

x^{2} - 2 x - 8 = x + 2

\frac{w + 9}{7} = 2

2 ∣ x + 10 ∣ = 8 x - 16

∣ 9 + 6 x ∣ = 4

∣ 6 a + 1 ∣ + 10 = 23