What is (3x+1)/(x-4)>= 1/3 ?

The solution to (3x+1)/(x-4)>= 1/3 is x 4

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(3x+1)/(x-4)>= 1/3

\frac{3 x + 1}{x - 4} \geq \frac{1}{3}

x \leq - \frac{7}{8} or x > 4

Interval Notation

(- \infty, - \frac{7}{8}] \cup (4, \infty)

Decimal Notation

x \leq - 0.875 or x > 4

Solution steps

\frac{3 x + 1}{x - 4} \geq \frac{1}{3}

Rewrite in standard form

\frac{8 x + 7}{x - 4} \geq 0

Identify the intervals

x \leq - \frac{7}{8} or x > 4

4 x^{2} + x - 5

8 x \geq - 32

x^{3} - 5 x^{2} + 3 x - 15

- \frac{1}{6} + \frac{2}{3}

∣ y - 3 ∣ < 5

What is (3x+1)/(x-4)>= 1/3 ?
The solution to (3x+1)/(x-4)>= 1/3 is x<=-7/8 \lor x>4