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Popular >

|5-2/x |<1

Solution

5 - \frac{2}{x} < 1

Solution

\frac{1}{3} < x < \frac{1}{2}

+2

Interval Notation

(\frac{1}{3}, \frac{1}{2})

Decimal Notation

0.33333 \dots < x < 0.5

Solution steps

5 - \frac{2}{x} < 1

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 1 < 5 - \frac{2}{x} < 1

5 - \frac{2}{x} > - 1 and 5 - \frac{2}{x} < 1

(x < 0 or x > \frac{1}{3}) and 0 < x < \frac{1}{2}

Merge Overlapping Intervals

\frac{1}{3} < x < \frac{1}{2}

Popular Examples

simplify 1/(-5.5^2-25)simplify

\frac{1}{- 5. 5 ^{2} - 25}

simplify (4!8!)/(2!7!)simplify

\frac{4 ! 8 !}{2 ! 7 !}

simplify sqrt(841)simplify

841

- 2 x - 5 > 19

simplify 1/8*12 simplify

\frac{1}{8} \cdot 12

Frequently Asked Questions (FAQ)

What is |5-2/x |<1 ?
The solution to |5-2/x |<1 is 1/3 <x< 1/2