What is (x-5)/(2x+7)>= 1 ?

The solution to (x-5)/(2x+7)>= 1 is -12<= x<-7/2

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(x-5)/(2x+7)>= 1

\frac{x - 5}{2 x + 7} \geq 1

- 12 \leq x < - \frac{7}{2}

Solution steps

\frac{x - 5}{2 x + 7} \geq 1

Rewrite in standard form

\frac{- x - 12}{2 x + 7} \geq 0

Identify the intervals

- 12 \leq x < - \frac{7}{2}

4 (x - \frac{1}{2})^{2} - \frac{18}{4} = 0

- 9.67 d - (- 8.67 d + 5.43) = - 1.92

(\frac{3 x}{2 y})^{3}

(2 x - 1) (2 x + 3) = 2 (2 x^{2} - x + 1)

p^{2} + p - 6 = 0