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Popular >

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

Solution

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

Solution

x > - \frac{5}{3}

+2

Interval Notation

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

Decimal Notation

x > - 1.66666 \dots

Solution steps

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

Multiply by LCM

12 x - 9 (x - 1) > 4

Expand

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

12 x - 9 x + 9 > 4

Add similar elements:

12 x - 9 x = 3 x

3 x + 9 > 4

Move

9

to the right side

3 x > - 5

Divide both sides by

3

x > - \frac{5}{3}

Popular Examples

simplify 1/2*pi/2 simplify

\frac{1}{2} \cdot \frac{π}{2}

sqrt(12)x^2+6=0

12 x^{2} + 6 = 0

- 3 x - 6 \geq - 5

factor 13a^2-7a-6 factor

13 a^{2} - 7 a - 6

∣ 3 x ∣ < 5

Frequently Asked Questions (FAQ)

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