- #1
flyingpig
- 2,579
- 1
Homework Statement
Solve
[tex]\left | \frac{5}{x + 2} \right | < 1[/tex]
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