What is \sqrt[4]{(4-x)/(2+x)}>0 ?

The solution to \sqrt[4]{(4-x)/(2+x)}>0 is -2<x<4

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\sqrt[4]{(4-x)/(2+x)}>0

- 2 < x < 4

Interval Notation

(- 2, 4)

Solution steps

Take both sides of the equation to the power of

4

Simplify

\frac{4 - x}{2 + x} > 0

Identify the intervals

- 2 < x < 4

Find singularity points

Find non-negative values for radicals:

- 2 < x \leq 4

Combine the intervals

- 2 < x < 4 and - 2 < x \leq 4

Merge Overlapping Intervals

- 2 < x < 4

12 - \frac{2}{3}

15 \cdot 3

\frac{4}{3} (4^{\frac{3}{2}})

7 a - 17 = 4 a + 1

3 0^{3}

What is \sqrt[4]{(4-x)/(2+x)}>0 ?
The solution to \sqrt[4]{(4-x)/(2+x)}>0 is -2<x<4