What is (2x)/3-(x-1)/2 >= 2/9 ?

The solution to (2x)/3-(x-1)/2 >= 2/9 is x>=-5/3

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(2x)/3-(x-1)/2 >= 2/9

\frac{2 x}{3} - \frac{x - 1}{2} \geq \frac{2}{9}

x \geq - \frac{5}{3}

Interval Notation

[- \frac{5}{3}, \infty)

Decimal Notation

x \geq - 1.66666 \dots

Solution steps

\frac{2 x}{3} - \frac{x - 1}{2} \geq \frac{2}{9}

Multiply by LCM

12 x - 9 (x - 1) \geq 4

Expand

- 9 (x - 1) : - 9 x + 9

12 x - 9 x + 9 \geq 4

Add similar elements:

12 x - 9 x = 3 x

3 x + 9 \geq 4

Move

9

to the right side

3 x \geq - 5

Divide both sides by

3

x \geq - \frac{5}{3}

(1 + 2 i) (1 - 2 i)

\frac{10}{10} \cdot \frac{2}{15}

m^{2} - 8 m + 12 = 0

x^{2} + 10 x + 14 = - 7

8 \cdot 1 0^{2}

What is (2x)/3-(x-1)/2 >= 2/9 ?
The solution to (2x)/3-(x-1)/2 >= 2/9 is x>=-5/3