What is |(x+3)/(x+16)|< 3/(x-4) ?

The solution to |(x+3)/(x+16)|< 3/(x-4) is 4<x<10

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|(x+3)/(x+16)|< 3/(x-4)

\frac{x + 3}{x + 16} < \frac{3}{x - 4}

4 < x < 10

Interval Notation

(4, 10)

Solution steps

\frac{x + 3}{x + 16} < \frac{3}{x - 4}

Find positive and negative intervals

x < - 16, - 16 \leq x < - 3, x \geq - 3

Solve the inequality for each interval

No Solution or 4 < x < 10

Merge Overlapping Intervals

4 < x < 10

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\frac{6 A ^{2} B ^{2}}{- 2 A B}

2 h^{2} - 2

What is |(x+3)/(x+16)|< 3/(x-4) ?
The solution to |(x+3)/(x+16)|< 3/(x-4) is 4<x<10