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

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

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

The solution is x=-1/2 \lor x= 5/4

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∣ x + 1 ∣ = 4 - ∣ 3 x - 2 ∣

x = - \frac{1}{2} or x = \frac{5}{4}

Decimal

x = - 0.5, x = 1.25

Solution steps

∣ x + 1 ∣ = 4 - ∣ 3 x - 2 ∣

Find positive and negative intervals

x < - 1, - 1 \leq x < \frac{2}{3}, x \geq \frac{2}{3}

Solve the inequality for each interval

No Solution or x = - \frac{1}{2} or x = \frac{5}{4}

x = - \frac{1}{2} or x = \frac{5}{4}

∣ x - 5 ∣ = 0.02

x + \frac{2}{2} = 2

4 + ∣ 3 x - 10 ∣ = 15

∣ x ∣ + 4 = 17

∣ x - 7 ∣ = 45

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