What is the answer to |x-1|-2|x-2|+3|x-3|=4 ?

The answer to |x-1|-2|x-2|+3|x-3|=4 is 1<= x<= 2\lor x=5

Solve for x: |x-1|-2|x-2|+3|x-3|=4

The solution is 1<= x<= 2\lor x=5

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The solution is 1<= x<= 2\lor x=5

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

1 \leq x \leq 2 or x = 5

Solution steps

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

Find positive and negative intervals

x < 1, 1 \leq x < 2, 2 \leq x < 3, x \geq 3

Solve the inequality for each interval

No Solution or 1 \leq x < 2 or x = 2 or x = 5

Merge Overlapping Intervals

1 \leq x \leq 2 or x = 5

∣ 3 x + 5 ∣ + ∣ 4 x + 7 ∣ = 12

\frac{( 4 x - 1 )}{3} = 2 x

∣ x ∣ + ∣ y ∣ = 1

x^{2} - 1 - 2 x = 1

∣ 5 x - 6 ∣ = x^{2}

What is the answer to |x-1|-2|x-2|+3|x-3|=4 ?
The answer to |x-1|-2|x-2|+3|x-3|=4 is 1<= x<= 2\lor x=5
Solve for x: |x-1|-2|x-2|+3|x-3|=4
The solution is 1<= x<= 2\lor x=5