What is 2/3 x^2-5/6 x<= 7/2 ?

The solution to 2/3 x^2-5/6 x<= 7/2 is -7/4 <= x<= 3

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2/3 x^2-5/6 x<= 7/2

\frac{2}{3} x^{2} - \frac{5}{6} x \leq \frac{7}{2}

- \frac{7}{4} \leq x \leq 3

Interval Notation

[- \frac{7}{4}, 3]

Decimal Notation

- 1.75 \leq x \leq 3

Solution steps

\frac{2}{3} x^{2} - \frac{5}{6} x \leq \frac{7}{2}

Rewrite in standard form

4 x^{2} - 5 x - 21 \leq 0

Factor

4 x^{2} - 5 x - 21 : (4 x + 7) (x - 3)

(4 x + 7) (x - 3) \leq 0

Identify the intervals

- \frac{7}{4} \leq x \leq 3

9 x^{2} + 12 x + 8 = 0

- 4 - (6 z + 2) \geq 9 z + 9 + 1

\frac{- 3}{8} + \frac{5}{2}

x^{2} - 169

y + \frac{y}{2} = 1

What is 2/3 x^2-5/6 x<= 7/2 ?
The solution to 2/3 x^2-5/6 x<= 7/2 is -7/4 <= x<= 3