What is 1/(3s-6)<24 ?

The solution to 1/(3s-6) 145/72

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1/(3s-6)<24

\frac{1}{3 s - 6} < 24

s < 2 or s > \frac{145}{72}

Interval Notation

(- \infty, 2) \cup (\frac{145}{72}, \infty)

Decimal Notation

s < 2 or s > 2.01388 \dots

Solution steps

\frac{1}{3 s - 6} < 24

Rewrite in standard form

\frac{- 72 s + 145}{3 s - 6} < 0

Factor

\frac{- 72 s + 145}{3 s - 6} : \frac{- 72 s + 145}{3 ( s - 2 )}

\frac{- 72 s + 145}{3 ( s - 2 )} < 0

Multiply both sides by

3

\frac{3 ( - 72 s + 145 )}{3 ( s - 2 )} < 0 \cdot 3

Simplify

\frac{- 72 s + 145}{s - 2} < 0

Identify the intervals

s < 2 or s > \frac{145}{72}

\frac{7}{5 \cdot x - 3} < - 2

(x - 3)^{2} - 4 x > - 16

\frac{( x + 1 )}{( x - 1 )} < 0

x, 9 x - 71 > 3 (3 x - 7 u)

y^{2} < 1