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Popular >

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

Solution

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

Solution

x > - \frac{18}{11}

+2

Interval Notation

(- \frac{18}{11}, \infty)

Decimal Notation

x > - 1.63636 \dots

Solution steps

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

Move

\frac{1}{3}

to the right side

\frac{x - 4}{6} < 2 x + \frac{7}{3}

Multiply both sides by

6

x - 4 < 12 x + 14

Move

4

to the right side

x < 12 x + 18

Move

12 x

to the left side

- 11 x < 18

Multiply both sides by

- 1

11 x > - 18

Divide both sides by

11

x > - \frac{18}{11}

Popular Examples

(2y)/5+2/6 = y/2-1/6

\frac{2 y}{5} + \frac{2}{6} = \frac{y}{2} - \frac{1}{6}

x + 8 x + 2 x = 6 - 50

factor 2xy+4y factor

2 x y + 4 y

3x<6\land x+8>5

3 x < 6 and x + 8 > 5

6 x - 3 = 15

Frequently Asked Questions (FAQ)

What is (x-4)/6-1/3 <2(x+1) ?
The solution to (x-4)/6-1/3 <2(x+1) is x>-18/11