What is ((2-3x))/((3-2x))>= 0 ?

The solution to ((2-3x))/((3-2x))>= 0 is x 3/2

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

\frac{( 2 - 3 x )}{( 3 - 2 x )} \geq 0

x \leq \frac{2}{3} or x > \frac{3}{2}

Interval Notation

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

Decimal Notation

x \leq 0.66666 \dots or x > 1.5

Solution steps

\frac{2 - 3 x}{3 - 2 x} \geq 0

Identify the intervals

x \leq \frac{2}{3} or x > \frac{3}{2}

\frac{( x + 4 )}{( x ^{2} + 4 x + 4 )} > \frac{( x - 2 )}{( x ^{2} - 4 )}

\frac{a ^{2}}{( a ^{4} + 1 )} \geq \frac{1}{2}

x^{3} - 4 x^{2} + 2 < x^{3} - 2 x^{2} + 1

\frac{- 3}{- x + 7} > 0

\frac{1}{( x - 1 )} \leq 2

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