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

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

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|2x-1|+|x+2|=4

∣ 2 x - 1 ∣ + ∣ x + 2 ∣ = 4

x = - 1 or x = 1

Solution steps

∣ 2 x - 1 ∣ + ∣ x + 2 ∣ = 4

Find positive and negative intervals

x < - 2, - 2 \leq x < \frac{1}{2}, x \geq \frac{1}{2}

Solve the inequality for each interval

No Solution or x = - 1 or x = 1

x = - 1 or x = 1

b (x) = ∣ x - 1 ∣ + 5

∣ x - 7 ∣ + 4 = 20

∣ x - 4 ∣ \cdot x^{2} - 2 x = 6 - 3 x

2 x^{2} - 6 x + 8 = 3 x - 9

\frac{x - 1}{4} = 6

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