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

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

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

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

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∣ x ∣ + ∣ x - 4 ∣ + ∣ x - 6 ∣ = 10

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

Decimal Notation

x = 0, x = 6.66666 \dots

Solution steps

∣ x ∣ + ∣ x - 4 ∣ + ∣ x - 6 ∣ = 10

Find positive and negative intervals

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

Solve the inequality for each interval

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

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

x^{2} - 1 = x + 3

∣ 10 x + 20 ∣ \cdot ∣ 4 x + 8 ∣ = 360

x^{2} - 3 x ∣ + 2 ∣ = x^{2} - 2 x

x^{2} - 4 x + 3 = - x^{2} - 5 x + 4

∣ x + 2 ∣ + ∣ 2 x + 1 ∣ - 3 ∣ x - 1 ∣ = 6

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