What is (x-4)/(2x+9)>= 1 ?

The solution to (x-4)/(2x+9)>= 1 is -13<= x<-9/2

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(x-4)/(2x+9)>= 1

\frac{x - 4}{2 x + 9} \geq 1

- 13 \leq x < - \frac{9}{2}

Interval Notation

[- 13, - \frac{9}{2})

Decimal Notation

- 13 \leq x < - 4.5

Solution steps

\frac{x - 4}{2 x + 9} \geq 1

Rewrite in standard form

\frac{- x - 13}{2 x + 9} \geq 0

Identify the intervals

- 13 \leq x < - \frac{9}{2}

\frac{81}{49}

3 x^{2} - 13 x y - 10 y^{2}

6 m^{2} = 16

\frac{2 ( 6 - u )}{3} = - 2 u + 6

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