What is -(2sqrt(2))/3 x-3<= (4sqrt(3))/2 ?

The solution to -(2sqrt(2))/3 x-3 = (-6sqrt(3)-9)/(2sqrt(2))

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-(2sqrt(2))/3 x-3<= (4sqrt(3))/2

- \frac{2 2}{3} x - 3 \leq \frac{4 3}{2}

x \geq \frac{- 6 3 - 9}{2 2}

Interval Notation

[\frac{- 6 3 - 9}{2 2}, \infty)

Decimal Notation

x \geq - 6.85621 \dots

Solution steps

- \frac{2 2}{3} x - 3 \leq \frac{4 3}{2}

Divide the numbers:

\frac{4}{2} = 2

- \frac{2 2}{3} x - 3 \leq 23

Move

3

to the right side

- \frac{2 2}{3} x \leq 23 + 3

Multiply both sides by

- 1

\frac{2 2}{3} x \geq - 23 - 3

Multiply both sides by

3

22 x \geq - 63 - 9

Divide both sides by

22

x \geq \frac{- 6 3 - 9}{2 2}

2 x^{2} = x^{2} + 4

5 x + 8 - 7 x = - 4 x + 1

2 x^{2} - 2 x - 1 = 0

9 (x - 4) = 18

- 4 (u + 1) = 2 (1 - 2 u) - 6

What is -(2sqrt(2))/3 x-3<= (4sqrt(3))/2 ?
The solution to -(2sqrt(2))/3 x-3<= (4sqrt(3))/2 is x>= (-6sqrt(3)-9)/(2sqrt(2))