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

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

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

The solution is x=-3/2 \lor x= 3/2

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∣ x + 1 ∣ + ∣ x - 1 ∣ = 3

x = - \frac{3}{2} or x = \frac{3}{2}

Solution steps

∣ x + 1 ∣ + ∣ x - 1 ∣ = 3

Find positive and negative intervals

x < - 1, - 1 \leq x < 1, x \geq 1

Solve the inequality for each interval

x = - \frac{3}{2} or No Solution or x = \frac{3}{2}

x = - \frac{3}{2} or x = \frac{3}{2}

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

∣ 3 x + 5 ∣ + ∣ 4 x + 7 ∣ = 12

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

∣ x ∣ + ∣ y ∣ = 1

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

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