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

The answer to |x-3|+|x-1|=5 is x=-1/2 \lor x= 9/2

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

The solution is x=-1/2 \lor x= 9/2

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∣ x - 3 ∣ + ∣ x - 1 ∣ = 5

x = - \frac{1}{2} or x = \frac{9}{2}

Decimal

x = - 0.5, x = 4.5

Solution steps

∣ x - 3 ∣ + ∣ x - 1 ∣ = 5

Find positive and negative intervals

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

Solve the inequality for each interval

x = - \frac{1}{2} or No Solution or x = \frac{9}{2}

x = - \frac{1}{2} or x = \frac{9}{2}

∣ x - 3 ∣ + ∣ x - 1 ∣ = 2

∣ 2 x + 3 ∣ - ∣ x + 4 ∣ = 6

y, ∣ x ∣ - y = 4

∣ 5 x - 10 ∣ = 25

4 ∣ 2 x + 1 ∣ = 3 x + 18

What is the answer to |x-3|+|x-1|=5 ?
The answer to |x-3|+|x-1|=5 is x=-1/2 \lor x= 9/2
Solve for x: |x-3|+|x-1|=5
The solution is x=-1/2 \lor x= 9/2