What is the answer to |x-1|+|x-3|+3|5-x|=9 ?

The answer to |x-1|+|x-3|+3|5-x|=9 is x= 8/3 \lor x= 28/5

Solve for x: |x-1|+|x-3|+3|5-x|=9

The solution is x= 8/3 \lor x= 28/5

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∣ x - 1 ∣ + ∣ x - 3 ∣ + 3 ∣ 5 - x ∣ = 9

x = \frac{8}{3} or x = \frac{28}{5}

Decimal Notation

x = 2.66666 \dots, x = 5.6

Solution steps

∣ x - 1 ∣ + ∣ x - 3 ∣ + 3 ∣ 5 - x ∣ = 9

Find positive and negative intervals

x < 1, 1 \leq x < 3, 3 \leq x \leq 5, x > 5

Solve the inequality for each interval

No Solution or x = \frac{8}{3} or x = \frac{28}{5}

x = \frac{8}{3} or x = \frac{28}{5}

∣ x - 1 ∣ + ∣ x - 2 ∣ + ∣ x - 3 ∣ + ∣ x - 4 ∣ = 4

∣ x + 2 ∣ = - 17

(x - 1) (∣ x ∣ - 1) = \frac{- 1}{2}

\frac{x + 1}{2} - 6 = - 2

x^{2} - 2 x + ∣ 3 x - 6 ∣ = 5 x - 6 - x^{2}

What is the answer to |x-1|+|x-3|+3|5-x|=9 ?
The answer to |x-1|+|x-3|+3|5-x|=9 is x= 8/3 \lor x= 28/5
Solve for x: |x-1|+|x-3|+3|5-x|=9
The solution is x= 8/3 \lor x= 28/5