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

The answer to |x-1|+|x-4|=3 is 1<= x<= 4

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|x-1|+|x-4|=3

∣ x - 1 ∣ + ∣ x - 4 ∣ = 3

1 \leq x \leq 4

Solution steps

∣ x - 1 ∣ + ∣ x - 4 ∣ = 3

Find positive and negative intervals

x < 1, 1 \leq x < 4, x \geq 4

Solve the inequality for each interval

No Solution or 1 \leq x < 4 or x = 4

Merge Overlapping Intervals

1 \leq x \leq 4

∣ 2 x ∣ + ∣ x - 5 ∣ = 8

6 \frac{( 4 w - 1 )}{6} = \frac{( 2 w )}{3} + \frac{1}{4}

(x - 1 - x^{2})^{3} + x^{2} - x + 1 = 0

∣ x - 3 ∣ = 5 - 2 x

∣ x + 5 ∣ + ∣ 3 - 5 ∣ = 15