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Popular >

2 x/9-2/3 <2-x+2/6

Solution

2 \frac{x}{9} - \frac{2}{3} < 2 - x + \frac{2}{6}

Solution

x < \frac{27}{11}

+2

Interval Notation

(- \infty, \frac{27}{11})

Decimal Notation

x < 2.45454 \dots

Solution steps

2 \cdot \frac{x}{9} - \frac{2}{3} < 2 - x + \frac{2}{6}

Multiply

2 \cdot \frac{x}{9} : \frac{2 x}{9}

\frac{2 x}{9} - \frac{2}{3} < 2 - x + \frac{2}{6}

Cancel

\frac{2}{6} : \frac{1}{3}

\frac{2 x}{9} - \frac{2}{3} < 2 - x + \frac{1}{3}

Combine the fractions

2 + \frac{1}{3} : \frac{7}{3}

\frac{2 x}{9} - \frac{2}{3} < - x + \frac{7}{3}

Move

\frac{2}{3}

to the right side

\frac{2 x}{9} < - x + 3

Multiply both sides by

9

2 x < - 9 x + 27

Move

9 x

to the left side

11 x < 27

Divide both sides by

11

x < \frac{27}{11}

Popular Examples

5 x + 2 > 3 x + 8

x + 5 > 7 - x

x - 52 \geq 4

2 > \frac{g}{9}

2 + 3 x - 10 < 0

Frequently Asked Questions (FAQ)

What is 2 x/9-2/3 <2-x+2/6 ?
The solution to 2 x/9-2/3 <2-x+2/6 is x< 27/11