What is the answer to |n|+|n-4|+|n-6|=10 ?

The answer to |n|+|n-4|+|n-6|=10 is n=0\lor n= 20/3

Solve for n: |n|+|n-4|+|n-6|=10

The solution is n=0\lor n= 20/3

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∣ n ∣ + ∣ n - 4 ∣ + ∣ n - 6 ∣ = 10

n = 0 or n = \frac{20}{3}

Solution steps

∣ n ∣ + ∣ n - 4 ∣ + ∣ n - 6 ∣ = 10

Find positive and negative intervals

n < 0, 0 \leq n < 4, 4 \leq n < 6, n \geq 6

Solve the inequality for each interval

No Solution or n = 0 or n = \frac{20}{3}

n = 0 or n = \frac{20}{3}

∣ x ∣ + ∣ x + 5 ∣ = 5

∣ x - 8 ∣ = 3 x^{2} - 5 - ∣ 2 x + 3 ∣

3 ∣ x + 2 ∣ - x = 3

∣ x - 5 ∣^{2} + ∣ x - 5 ∣ - 24 = 0

1 x^{2} - x + ∣ x + 1 ∣ = 5

What is the answer to |n|+|n-4|+|n-6|=10 ?
The answer to |n|+|n-4|+|n-6|=10 is n=0\lor n= 20/3
Solve for n: |n|+|n-4|+|n-6|=10
The solution is n=0\lor n= 20/3