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Popular >

(x-3)/x <=-2

Solution

\frac{x - 3}{x} \leq - 2

Solution

0 < x \leq 1

+1

Interval Notation

(0, 1]

Solution steps

\frac{x - 3}{x} \leq - 2

Rewrite in standard form

\frac{3 x - 3}{x} \leq 0

Factor

\frac{3 x - 3}{x} : \frac{3 ( x - 1 )}{x}

\frac{3 ( x - 1 )}{x} \leq 0

Divide both sides by

3

\frac{\frac{3 ( x - 1 )}{x}}{3} \leq \frac{0}{3}

Simplify

\frac{x - 1}{x} \leq 0

Identify the intervals

0 < x \leq 1

Popular Examples

x^{4} + 4 < 0

simplify (5pi)/4-pi/2 simplify

\frac{5 π}{4} - \frac{π}{2}

simplify 4/2+5/2 simplify

\frac{4}{2} + \frac{5}{2}

y^{2} + 4 y - 5 = 0

1240=a*0.302734375^{20}

1240 = a \cdot 0.30273437 5^{20}

Frequently Asked Questions (FAQ)

What is (x-3)/x <=-2 ?
The solution to (x-3)/x <=-2 is 0<x<= 1