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

The answer to |x+2|= 1/3 is x=-7/3 \lor x=-5/3

Solve for x: |x+2|= 1/3

The solution is x=-7/3 \lor x=-5/3

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∣ x + 2 ∣ = \frac{1}{3}

x = - \frac{7}{3} or x = - \frac{5}{3}

Decimal Notation

x = - 2.33333 \dots, x = - 1.66666 \dots

Solution steps

∣ x + 2 ∣ = \frac{1}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - \frac{1}{3} or x + 2 = \frac{1}{3}

x + 2 = - \frac{1}{3} or x + 2 = \frac{1}{3}

x = - \frac{7}{3} or x = - \frac{5}{3}

\frac{∣ x ∣}{8} = 3

∣ 4 x - 4 ∣ = 8

∣ 2 x + 3 ∣ - 7 = 0

∣ 3 x + 2 ∣ - 2 = 6

∣ z ∣ + 4 = 5

What is the answer to |x+2|= 1/3 ?
The answer to |x+2|= 1/3 is x=-7/3 \lor x=-5/3
Solve for x: |x+2|= 1/3
The solution is x=-7/3 \lor x=-5/3