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Popular >

6x-1< 4/9 (18x-3)

Solution

6 x - 1 < \frac{4}{9} (18 x - 3)

Solution

x > \frac{1}{6}

+2

Interval Notation

(\frac{1}{6}, \infty)

Decimal Notation

x > 0.16666 \dots

Solution steps

6 x - 1 < \frac{4}{9} (18 x - 3)

Expand

\frac{4}{9} (18 x - 3) : 8 x - \frac{4}{3}

6 x - 1 < 8 x - \frac{4}{3}

Move

1

to the right side

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

Move

8 x

to the left side

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

Multiply both sides by

- 1

2 x > \frac{1}{3}

Divide both sides by

2

x > \frac{1}{6}

Popular Examples

factor 125x^2-5 factor

125 x^{2} - 5

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

simplify (-6x^4y)^3 simplify

(- 6 x^{4} y)^{3}

x^{2} - 12 x + 29 = 0

factor-15m^2-73m+10 factor

- 15 m^{2} - 73 m + 10

Frequently Asked Questions (FAQ)

What is 6x-1< 4/9 (18x-3) ?
The solution to 6x-1< 4/9 (18x-3) is x> 1/6