1-2/x >3x

Solution

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

x < 0

Interval Notation

(- \infty, 0)

Solution steps

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

Rewrite in standard form

\frac{x - 2 - 3 x ^{2}}{x} > 0

Multiply both sides by

- 1

(reverse the inequality)

\frac{( - ( - x + 2 + 3 x ^{2} ) ) ( - 1 )}{x} < 0 \cdot (- 1)

Simplify

\frac{- x + 2 + 3 x ^{2}}{x} < 0

Identify the intervals

x < 0

\frac{2 + 3 i}{4 + i}

- 7 k \leq - 84

5 > - 6 - 2 x

∣ 5 x + 3 ∣ \geq 3 x

m^{2} + 75 = 37