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Popular >

9x-1< 3/4 (16x-2)

Solution

9 x - 1 < \frac{3}{4} (16 x - 2)

Solution

x > \frac{1}{6}

+2

Interval Notation

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

Decimal Notation

x > 0.16666 \dots

Solution steps

9 x - 1 < \frac{3}{4} (16 x - 2)

Expand

\frac{3}{4} (16 x - 2) : 12 x - \frac{3}{2}

9 x - 1 < 12 x - \frac{3}{2}

Move

1

to the right side

9 x < 12 x - \frac{1}{2}

Move

12 x

to the left side

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

Multiply both sides by

- 1

3 x > \frac{1}{2}

Divide both sides by

3

x > \frac{1}{6}

Popular Examples

factor y^4+10y^2+24 factor

y^{4} + 10 y^{2} + 24

3 x - 3 = - 3 (1 - x)

4 - \frac{x}{3} = 1

7/2 x+7/9 x=-17+25/6

\frac{7}{2} x + \frac{7}{9} x = - 17 + \frac{25}{6}

simplify 225/2*pi/(180)simplify

\frac{225}{2} \cdot \frac{π}{180}

Frequently Asked Questions (FAQ)

What is 9x-1< 3/4 (16x-2) ?
The solution to 9x-1< 3/4 (16x-2) is x> 1/6