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Popular >

(-1)/((2x-3))>0

Solution

\frac{- 1}{( 2 x - 3 )} > 0

Solution

x < \frac{3}{2}

+2

Interval Notation

(- \infty, \frac{3}{2})

Decimal Notation

x < 1.5

Solution steps

\frac{- 1}{2 x - 3} > 0

Multiply both sides by

- 1

(reverse the inequality)

\frac{( - 1 ) ( - 1 )}{2 x - 3} < 0 \cdot (- 1)

Simplify

\frac{1}{2 x - 3} < 0

If

\frac{1}{a} < 0

then

a < 0

2 x - 3 < 0

Move

3

to the right side

2 x < 3

Divide both sides by

2

x < \frac{3}{2}

Popular Examples

- x^{2} + 2 x - 2 < 0

1/((1+x))+1/((x-1))+2/((x+2))<0

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

(x-2)^3(x-4)^2(x-10)17>0

(x - 2)^{3} (x - 4)^{2} (x - 10) 17 > 0

x (x + 3) < 0

(3x(x-1))/(5x)>= 0

\frac{3 x ( x - 1 )}{5 x} \geq 0

Frequently Asked Questions (FAQ)

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