What is 1/4 (2x-1)-x< x/6-1/3 ?

The solution to 1/4 (2x-1)-x 1/8

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1/4 (2x-1)-x< x/6-1/3

\frac{1}{4} (2 x - 1) - x < \frac{x}{6} - \frac{1}{3}

x > \frac{1}{8}

Interval Notation

(\frac{1}{8}, \infty)

Decimal Notation

x > 0.125

Solution steps

\frac{1}{4} (2 x - 1) - x < \frac{x}{6} - \frac{1}{3}

Move

\frac{x}{6}

to the left side

\frac{- 8 x - 3}{12} < - \frac{1}{3}

Multiply both sides by

12

- 8 x - 3 < - 4

Move

3

to the right side

- 8 x < - 1

Multiply both sides by

- 1

8 x > 1

Divide both sides by

8

x > \frac{1}{8}

\frac{x}{2} + 1 = 5

- 4 (x - 11) = 16

289

54 + 16 x - x^{2} = 0

x + 2 < 4 x - 7