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Popular >

4/5 >2-3/x

Solution

\frac{4}{5} > 2 - \frac{3}{x}

Solution

0 < x < \frac{5}{2}

+2

Interval Notation

(0, \frac{5}{2})

Decimal Notation

0 < x < 2.5

Solution steps

\frac{4}{5} > 2 - \frac{3}{x}

Switch sides

2 - \frac{3}{x} < \frac{4}{5}

Rewrite in standard form

\frac{6 x - 15}{x} < 0

Factor

\frac{6 x - 15}{x} : \frac{3 ( 2 x - 5 )}{x}

\frac{3 ( 2 x - 5 )}{x} < 0

Divide both sides by

3

\frac{\frac{3 ( 2 x - 5 )}{x}}{3} < \frac{0}{3}

Simplify

\frac{2 x - 5}{x} < 0

Identify the intervals

0 < x < \frac{5}{2}

Popular Examples

simplify 2/5-1/6+2/3 simplify

\frac{2}{5} - \frac{1}{6} + \frac{2}{3}

-4(x+3)=2(x+12)

- 4 (x + 3) = 2 (x + 12)

4x^2+20x+21<= 0

4 x^{2} + 20 x + 21 \leq 0

- 5 \cdot 7 + 9 \cdot \frac{5}{5}

88.1-2.3f=72.46

88.1 - 2.3 f = 72.46

Frequently Asked Questions (FAQ)

What is 4/5 >2-3/x ?
The solution to 4/5 >2-3/x is 0<x< 5/2