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

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

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

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

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

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

Decimal Notation

x = - 1, x = - 0.2

Solution steps

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

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

∣ x + 1 ∣ = x + 1

∣ 5 n + 7 ∣ = 23

\frac{3 + x}{2} = 5 + x

∣ 4 y + 3 ∣ = 5

∣ - 12 y + 2 ∣ + 9 = 8