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Popular >

|(2x+1)/(x-3)|>3

Solution

\frac{2 x + 1}{x - 3} > 3

Solution

\frac{8}{5} < x < 3 or 3 < x < 10

+2

Interval Notation

(\frac{8}{5}, 3) \cup (3, 10)

Decimal Notation

1.6 < x < 3 or 3 < x < 10

Solution steps

\frac{2 x + 1}{x - 3} > 3

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

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

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

\frac{8}{5} < x < 3 or 3 < x < 10

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y^{3} - 7 y - 6

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Frequently Asked Questions (FAQ)

What is |(2x+1)/(x-3)|>3 ?
The solution to |(2x+1)/(x-3)|>3 is 8/5 <x<3\lor 3<x<10