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Popular >

6/((x-1))<(x+4)

Solution

\frac{6}{( x - 1 )} < (x + 4)

Solution

- 5 < x < 1 or x > 2

+1

Interval Notation

(- 5, 1) \cup (2, \infty)

Solution steps

\frac{6}{x - 1} < x + 4

Rewrite in standard form

\frac{- x ^{2} - 3 x + 10}{x - 1} < 0

Factor

\frac{- x ^{2} - 3 x + 10}{x - 1} : \frac{- ( x - 2 ) ( x + 5 )}{x - 1}

\frac{- ( x - 2 ) ( x + 5 )}{x - 1} < 0

Multiply both sides by

- 1

(reverse the inequality)

\frac{( - ( x - 2 ) ( x + 5 ) ) ( - 1 )}{x - 1} > 0 \cdot (- 1)

Simplify

\frac{( x - 2 ) ( x + 5 )}{x - 1} > 0

Identify the intervals

- 5 < x < 1 or x > 2

Popular Examples

- 3 x^{2} - 27 x = 42

simplify (20*(49.24+8.68j))/((20+40j))simplify

\frac{20 \cdot ( 49.24 + 8.68 j )}{( 20 + 40 j )}

factor 6/5+x/5 factor

\frac{6}{5} + \frac{x}{5}

x + 6 = 3 x - 2

16 t^{2} - 4 t + 3 = 0

Frequently Asked Questions (FAQ)

What is 6/((x-1))<(x+4) ?
The solution to 6/((x-1))<(x+4) is -5<x<1\lor x>2