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Popular >

(-4)/(1-x)<8

Solution

\frac{- 4}{1 - x} < 8

Solution

x < 1 or x > \frac{3}{2}

+2

Interval Notation

(- \infty, 1) \cup (\frac{3}{2}, \infty)

Decimal Notation

x < 1 or x > 1.5

Solution steps

\frac{- 4}{1 - x} < 8

Rewrite in standard form

\frac{8 x - 12}{1 - x} < 0

Factor

\frac{8 x - 12}{1 - x} : \frac{4 ( 2 x - 3 )}{1 - x}

\frac{4 ( 2 x - 3 )}{1 - x} < 0

Divide both sides by

4

\frac{\frac{4 ( 2 x - 3 )}{1 - x}}{4} < \frac{0}{4}

Simplify

\frac{2 x - 3}{1 - x} < 0

Identify the intervals

x < 1 or x > \frac{3}{2}

Popular Examples

factor 45c^2-320 factor

45 c^{2} - 320

simplify sqrt(54)simplify

54

|2x-1|+|4-2x|=10

∣ 2 x - 1 ∣ + ∣ 4 - 2 x ∣ = 10

factor 3y^2+46y-32 factor

3 y^{2} + 46 y - 32

x^{2} - 2 \cdot x - 3 = 0

Frequently Asked Questions (FAQ)

What is (-4)/(1-x)<8 ?
The solution to (-4)/(1-x)<8 is x<1\lor x> 3/2