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Popular >

2/15 x-3/2 < 2/5 x+7/6

Solution

\frac{2}{15} x - \frac{3}{2} < \frac{2}{5} x + \frac{7}{6}

Solution

x > - 10

+1

Interval Notation

(- 10, \infty)

Solution steps

\frac{2}{15} x - \frac{3}{2} < \frac{2}{5} x + \frac{7}{6}

Move

\frac{3}{2}

to the right side

\frac{2}{15} x < \frac{2 ( 3 x + 20 )}{15}

Multiply both sides by

15

2 x < 2 (3 x + 20)

Expand

2 (3 x + 20) : 6 x + 40

2 x < 6 x + 40

Move

6 x

to the left side

- 4 x < 40

Multiply both sides by

- 1

4 x > - 40

Divide both sides by

4

x > - 10

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10 x - \frac{8 x - 3}{4} = 2 (x - 3)

simplify (-20x^3y^2)/(-5x^3y)simplify

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Frequently Asked Questions (FAQ)

What is 2/15 x-3/2 < 2/5 x+7/6 ?
The solution to 2/15 x-3/2 < 2/5 x+7/6 is x>-10