What is -3sqrt(x+2)<15 ?

The solution to -3sqrt(x+2) =-2

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-3sqrt(x+2)<15

- 3 x + 2 < 15

x \geq - 2

Interval Notation

[- 2, \infty)

Solution steps

- 3 x + 2 < 15

Multiply both sides by

- 1

(reverse the inequality)

(- 3 x + 2) (- 1) > 15 (- 1)

Simplify

3 x + 2 > - 15

Divide both sides by

3

\frac{3 x + 2}{3} > \frac{- 15}{3}

Simplify

x + 2 > - 5

If n is even,

for all

u

True for all x

Find singularity points

Find non-negative values for radicals:

x \geq - 2

Combine the intervals

True for all x and x \geq - 2

Merge Overlapping Intervals

x \geq - 2

19 w^{2} - 30 w + 8 = - 6 w^{2}

\frac{2 π}{\frac{5 π}{2}}

\frac{x + 3}{x - 2} < 0

35 a^{2} b^{2} - 5 ab

- 50 \leq - 2 x - 10