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Popular >

(26-4x)/x <9

Solution

\frac{26 - 4 x}{x} < 9

Solution

x < 0 or x > 2

+1

Interval Notation

(- \infty, 0) \cup (2, \infty)

Solution steps

\frac{26 - 4 x}{x} < 9

Rewrite in standard form

\frac{26 - 13 x}{x} < 0

Factor

\frac{26 - 13 x}{x} : \frac{- 13 ( x - 2 )}{x}

\frac{- 13 ( x - 2 )}{x} < 0

Multiply both sides by

- 1

(reverse the inequality)

\frac{( - 13 ( x - 2 ) ) ( - 1 )}{x} > 0 \cdot (- 1)

Simplify

\frac{13 ( x - 2 )}{x} > 0

Divide both sides by

13

\frac{\frac{13 ( x - 2 )}{x}}{13} > \frac{0}{13}

Simplify

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

Identify the intervals

x < 0 or x > 2

Popular Examples

simplify 4sqrt(96)-6sqrt(24)simplify

496 - 624

factor 8x^2+18x-5 factor

8 x^{2} + 18 x - 5

(-1)/4 x+8>= 12

\frac{- 1}{4} x + 8 \geq 12

simplify (41-13i)/(1+7i)simplify

\frac{41 - 13 i}{1 + 7 i}

x/3 sqrt(2)=sqrt(18)+sqrt(32)

\frac{x}{3} 2 = 18 + 32

Frequently Asked Questions (FAQ)

What is (26-4x)/x <9 ?
The solution to (26-4x)/x <9 is x<0\lor x>2