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# help with inequality

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Find all the values of x such that (4x - 5)/(3x + 5) >= 3 + 1/(3x + 5).

Dec 7, 2021

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Find all the values of x.

Hello Guest!

$$\frac{4x - 5}{3x + 5}\geq3+\frac{1}{3x + 5}\\ \frac{4x - 5-1}{3x + 5}\geq3\\ 4x-6\leq 9x+15\\ -21\leq5x\\ \color{blue} -4.2\leq x$$

$$3x+5<0\\ 3x<-5$$

$$x<-1.6\overline6$$

$$-4.2\leq x<-1.6\overline6$$

!

Dec 8, 2021
edited by asinus  Dec 8, 2021