What is -2sqrt(x-3)<= 22 ?

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

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-2sqrt(x-3)<= 22

- 2 x - 3 \leq 22

x \geq 3

Solution steps

- 2 x - 3 \leq 22

Multiply both sides by

- 1

(reverse the inequality)

(- 2 x - 3) (- 1) \geq 22 (- 1)

Simplify

2 x - 3 \geq - 22

Divide both sides by

2

\frac{2 x - 3}{2} \geq \frac{- 22}{2}

Simplify

x - 3 \geq - 11

If n is even,

for all

u

True for all x

Find singularity points

Find non-negative values for radicals:

x \geq 3

Combine the intervals

True for all x and x \geq 3

Merge Overlapping Intervals

x \geq 3

6 a^{2} - 7 a + 1

\frac{3 i}{- 2 + i}

\frac{\frac{3}{2}}{\frac{- 1}{2}}

6 x^{2} - 11 x - 35

3 (3 v - 5) = 39