What is solvefor x,6x^2-x-6<= 4x-2 ?

The solution to solvefor x,6x^2-x-6<= 4x-2 is -1/2 <= x<= 4/3

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Solve the Inequality for x 6x^2-x-6<=4x-2

solve for

x, 6 x^{2} - x - 6 \leq 4 x - 2

- \frac{1}{2} \leq x \leq \frac{4}{3}

Solution steps

6 x^{2} - x - 6 \leq 4 x - 2

Rewrite in standard form

6 x^{2} - 5 x - 4 \leq 0

Factor

6 x^{2} - 5 x - 4 : (2 x + 1) (3 x - 4)

(2 x + 1) (3 x - 4) \leq 0

Identify the intervals

- \frac{1}{2} \leq x \leq \frac{4}{3}

Number Line

- \frac{1}{2} \leq x \leq \frac{4}{3}

π \cdot 7^{2}

\frac{3}{2}

\frac{( 30 - 3 )}{3}

\frac{28}{2}

π \cdot 1 2^{2}

What is solvefor x,6x^2-x-6<= 4x-2 ?
The solution to solvefor x,6x^2-x-6<= 4x-2 is -1/2 <= x<= 4/3