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Popular >

| 1/x+3|>4

Solution

\frac{1}{x} + 3 > 4

Solution

- \frac{1}{7} < x < 0 or 0 < x < 1

+2

Interval Notation

(- \frac{1}{7}, 0) \cup (0, 1)

Decimal Notation

- 0.14285 \dots < x < 0 or 0 < x < 1

Solution steps

\frac{1}{x} + 3 > 4

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

\frac{1}{x} + 3 < - 4 or \frac{1}{x} + 3 > 4

\frac{1}{x} + 3 < - 4 or \frac{1}{x} + 3 > 4

- \frac{1}{7} < x < 0 or 0 < x < 1

Popular Examples

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\frac{1}{4} \cdot 0

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- ln (1)

factor 15x^2-29x+12 factor

15 x^{2} - 29 x + 12

factor 63a^2-112b^2 factor

63 a^{2} - 112 b^{2}

Frequently Asked Questions (FAQ)

What is | 1/x+3|>4 ?
The solution to | 1/x+3|>4 is -1/7 <x<0\lor 0<x<1