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Popular >

|(2x+1)/(x-5)|<3

Solution

\frac{2 x + 1}{x - 5} < 3

Solution

x < \frac{14}{5} or x > 16

+2

Interval Notation

(- \infty, \frac{14}{5}) \cup (16, \infty)

Decimal Notation

x < 2.8 or x > 16

Solution steps

\frac{2 x + 1}{x - 5} < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < \frac{2 x + 1}{x - 5} < 3

\frac{2 x + 1}{x - 5} > - 3 and \frac{2 x + 1}{x - 5} < 3

(x < \frac{14}{5} or x > 5) and (x < 5 or x > 16)

Merge Overlapping Intervals

x < \frac{14}{5} or x > 16

Popular Examples

simplify (8!)/(7!)simplify

\frac{8 !}{7 !}

\frac{x + 1}{x - 3} < 0

x^{2} + 2 = 3

6 x - 5 = 3

2 z^{2} = 13 z + 15

Frequently Asked Questions (FAQ)

What is |(2x+1)/(x-5)|<3 ?
The solution to |(2x+1)/(x-5)|<3 is x< 14/5 \lor x>16