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

The solution to (x-4)/(2x+4)>= 1 is -8<= x<-2

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

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

- 8 \leq x < - 2

Interval Notation

[- 8, - 2)

Solution steps

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

Rewrite in standard form

\frac{- x - 8}{2 x + 4} \geq 0

Factor

\frac{- x - 8}{2 x + 4} : \frac{- x - 8}{2 ( x + 2 )}

\frac{- x - 8}{2 ( x + 2 )} \geq 0

Multiply both sides by

2

\frac{2 ( - x - 8 )}{2 ( x + 2 )} \geq 0 \cdot 2

Simplify

\frac{- x - 8}{x + 2} \geq 0

Identify the intervals

- 8 \leq x < - 2

6 x^{2} = - 3

(6 4^{3}) \frac{1}{3}

- \frac{1}{4} \cdot \frac{1}{2}

6 \cdot 718

\frac{7}{5} + \frac{8}{35} - \frac{9}{21}