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Popular >

6x^2-x<2

Solution

6 x^{2} - x < 2

Solution

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

+2

Interval Notation

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

Decimal Notation

- 0.5 < x < 0.66666 \dots

Solution steps

6 x^{2} - x < 2

Rewrite in standard form

6 x^{2} - x - 2 < 0

Factor

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

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

Identify the intervals

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

Popular Examples

simplify sqrt(4100)simplify

4100

3 x^{2} - x - 2 < 0

4(3/4 x-4)-13=7

4 (\frac{3}{4} x - 4) - 13 = 7

simplify (x^{4/3})^{5/7}simplify

(x^{\frac{4}{3}})^{\frac{5}{7}}

simplify ((-4/5))/((-3/5))simplify

\frac{( - \frac{4}{5} )}{( - \frac{3}{5} )}

Frequently Asked Questions (FAQ)

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