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Popular >

|2+5/x |>1

Solution

2 + \frac{5}{x} > 1

Solution

x < - 5 or - \frac{5}{3} < x < 0 or x > 0

+2

Interval Notation

(- \infty, - 5) \cup (- \frac{5}{3}, 0) \cup (0, \infty)

Decimal Notation

x < - 5 or - 1.66666 \dots < x < 0 or x > 0

Solution steps

2 + \frac{5}{x} > 1

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 + \frac{5}{x} < - 1 or 2 + \frac{5}{x} > 1

2 + \frac{5}{x} < - 1 or 2 + \frac{5}{x} > 1

- \frac{5}{3} < x < 0 or (x < - 5 or x > 0)

Merge Overlapping Intervals

x < - 5 or - \frac{5}{3} < x < 0 or x > 0

Popular Examples

- x + 9 x = 32

x^{2} - 7 < 0

∣ 2 x + 3 ∣ > 8

simplify (3sqrt(6))/6 simplify

\frac{3 6}{6}

factor 121a^2-64b^2 factor

121 a^{2} - 64 b^{2}

Frequently Asked Questions (FAQ)

What is |2+5/x |>1 ?
The solution to |2+5/x |>1 is x<-5\lor-5/3 <x<0\lor x>0