What is sqrt(x/2)>4 ?

The solution to sqrt(x/2)>4 is x>32

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sqrt(x/2)>4

\frac{x}{2} > 4

x > 32

Interval Notation

(32, \infty)

Solution steps

\frac{x}{2} > 4

Square both sides

(\frac{x}{2})^{2} > 4^{2}

Simplify

\frac{x}{2} > 16

Multiply both sides by

2

x > 32

Find singularity points

Find non-negative values for radicals:

x \geq 0

Combine the intervals

x > 32 and x \geq 0

Merge Overlapping Intervals

x > 32

x < 2 - x

- x^{2} + 8 x - 7 < x - 1

\frac{( ∣ x + 2 ∣ - ∣ x ∣ )}{( 8 - x ^{2} )} \geq 0

\frac{( x - 3 )}{( x + 1 )} \geq \frac{( x + 2 )}{( x - 4 )}

x - 3 < (15 - x)