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Popular >

(-3)/(1-x)<9

Solution

\frac{- 3}{1 - x} < 9

Solution

x < 1 or x > \frac{4}{3}

+2

Interval Notation

(- \infty, 1) \cup (\frac{4}{3}, \infty)

Decimal Notation

x < 1 or x > 1.33333 \dots

Solution steps

\frac{- 3}{1 - x} < 9

Rewrite in standard form

\frac{9 x - 12}{1 - x} < 0

Factor

\frac{9 x - 12}{1 - x} : \frac{3 ( 3 x - 4 )}{1 - x}

\frac{3 ( 3 x - 4 )}{1 - x} < 0

Divide both sides by

3

\frac{\frac{3 ( 3 x - 4 )}{1 - x}}{3} < \frac{0}{3}

Simplify

\frac{3 x - 4}{1 - x} < 0

Identify the intervals

x < 1 or x > \frac{4}{3}

Popular Examples

- 9 \leq x \leq - 1

(2 x - 3) (2 x + 1) = 5

factor 14x^2-x-4 factor

14 x^{2} - x - 4

simplify 0.5^{-5}simplify

0. 5^{- 5}

simplify 1/4 (8)simplify

\frac{1}{4} (8)

Frequently Asked Questions (FAQ)

What is (-3)/(1-x)<9 ?
The solution to (-3)/(1-x)<9 is x<1\lor x> 4/3