What is -0.25sqrt(x)-6<=-3 ?

The solution to -0.25sqrt(x)-6 = 0

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-0.25sqrt(x)-6<=-3

- 0.25 x - 6 \leq - 3

x \geq 0

Interval Notation

[0, \infty)

Solution steps

- 0.25 x - 6 \leq - 3

Multiply both sides by

100

- 25 x - 600 \leq - 300

Move

600

to the right side

- 25 x \leq 300

Multiply both sides by

- 1

25 x \geq - 300

Divide both sides by

25

x \geq - 12

If n is even,

for all

u

True for all x

Find singularity points

Find non-negative values for radicals:

x \geq 0

Combine the intervals

True for all x and x \geq 0

Merge Overlapping Intervals

x \geq 0

15 = x - 14

\frac{x - 10}{2 x + 7} \leq - 4

p^{2} - 15 p + 26

3 x^{2} + 8 x - 16

\frac{0.0055}{( 1 + 0.0055 ) ^{84} - 1}