What is the answer to |x-2|+|x-4|=6 ?

The answer to |x-2|+|x-4|=6 is x=0\lor x=6

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|x-2|+|x-4|=6

∣ x - 2 ∣ + ∣ x - 4 ∣ = 6

x = 0 or x = 6

Solution steps

∣ x - 2 ∣ + ∣ x - 4 ∣ = 6

Find positive and negative intervals

x < 2, 2 \leq x < 4, x \geq 4

Solve the inequality for each interval

x = 0 or No Solution or x = 6

x = 0 or x = 6

∣ x + 3 ∣ - ∣ 2 x - 5 ∣ = 7

∣ x ∣ + ∣ y ∣ + ∣ x + y ∣ = 24

∣ - 5 x ∣ = 4 x - 16

∣ 3 - x ∣ = x - 3

∣ x + 1 ∣ + ∣ x + 2 ∣ = 3

What is the answer to |x-2|+|x-4|=6 ?
The answer to |x-2|+|x-4|=6 is x=0\lor x=6
Solve for x: |x-2|+|x-4|=6
The solution is x=0\lor x=6