What is 5/6 x-2/5 > 3/4 x-1/10 ?

The solution to 5/6 x-2/5 > 3/4 x-1/10 is x> 18/5

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5/6 x-2/5 > 3/4 x-1/10

\frac{5}{6} x - \frac{2}{5} > \frac{3}{4} x - \frac{1}{10}

x > \frac{18}{5}

Interval Notation

(\frac{18}{5}, \infty)

Decimal Notation

x > 3.6

Solution steps

\frac{5}{6} x - \frac{2}{5} > \frac{3}{4} x - \frac{1}{10}

Move

\frac{2}{5}

to the right side

\frac{5}{6} x > \frac{3}{10} + \frac{3}{4} x

Move

\frac{3}{4} x

to the left side

\frac{1}{12} x > \frac{3}{10}

Multiply both sides by

12

x > \frac{18}{5}

∣ 3 x + 2 ∣ > 2

\frac{x}{5} = 3

9 x + 1 - 7 x - 5 = - 20

∣ x - 1 ∣ < ∣ x + 1 ∣

y^{2} + 5 y + 6

What is 5/6 x-2/5 > 3/4 x-1/10 ?
The solution to 5/6 x-2/5 > 3/4 x-1/10 is x> 18/5