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Popular >

2/x <4

Solution

\frac{2}{x} < 4

Solution

x < 0 or x > \frac{1}{2}

+2

Interval Notation

(- \infty, 0) \cup (\frac{1}{2}, \infty)

Decimal Notation

x < 0 or x > 0.5

Solution steps

\frac{2}{x} < 4

Rewrite in standard form

\frac{2 - 4 x}{x} < 0

Factor

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

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

Multiply both sides by

- 1

(reverse the inequality)

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

Simplify

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

Divide both sides by

2

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

Simplify

\frac{2 x - 1}{x} > 0

Identify the intervals

x < 0 or x > \frac{1}{2}

Popular Examples

factor k^2(a+2)-9a-18 factor

k^{2} (a + 2) - 9 a - 18

simplify (8^{16})/(16^{12)}simplify

\frac{8 ^{16}}{1 6 ^{12}}

factor 9-12x+6y factor

9 - 12 x + 6 y

7/8 x+1/3 = 7/12

\frac{7}{8} x + \frac{1}{3} = \frac{7}{12}

simplify (9x^2y^4)/(9x^6y^6)simplify

\frac{9 x ^{2} y ^{4}}{9 x ^{6} y ^{6}}

Frequently Asked Questions (FAQ)

What is 2/x <4 ?
The solution to 2/x <4 is x<0\lor x> 1/2