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Popular >

1<6x^2-x

Solution

1 < 6 x^{2} - x

Solution

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

+2

Interval Notation

(- \infty, - \frac{1}{3}) \cup (\frac{1}{2}, \infty)

Decimal Notation

x < - 0.33333 \dots or x > 0.5

Solution steps

1 < 6 x^{2} - x

Switch sides

6 x^{2} - x > 1

Rewrite in standard form

6 x^{2} - x - 1 > 0

Factor

6 x^{2} - x - 1 : (3 x + 1) (2 x - 1)

(3 x + 1) (2 x - 1) > 0

Identify the intervals

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

Popular Examples

simplify 3*1/8 simplify

3 \cdot \frac{1}{8}

simplify 2(2)^{3/2}simplify

2 (2)^{\frac{3}{2}}

12/25-(3b)/(10)< 1/2-b/5

\frac{12}{25} - \frac{3 b}{10} < \frac{1}{2} - \frac{b}{5}

simplify (5+i)^2 simplify

(5 + i)^{2}

simplify 1/8 x^3-1/27 y^3 simplify

\frac{1}{8} x^{3} - \frac{1}{27} y^{3}

Frequently Asked Questions (FAQ)

What is 1<6x^2-x ?
The solution to 1<6x^2-x is x<-1/3 \lor x> 1/2