(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve

[tex]\left | \frac{5}{x + 2} \right | < 1[/tex]

3. The attempt at a solution

All I know is that x= -2 is discontinuous. I thought about doing test points, but it seemed rather useless seeing I will probably end up with (-2, infinity) or (-inf, -2)

Computer says the solution is x < -7, x >3

I then thought about doing this

[tex]\left |5\right | < \left|x + 2\right|[/tex]

[tex]-|x + 2| < -5[/tex]

[tex]5 < -(x + 2) < -5[/tex]

[tex]-5 > x + 2 > 5[/tex]

[tex]-7 > x > 3[/tex]

I am sorry lol

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# Homework Help: I honestly cannot believe I am stuck on this.

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