Solve |x + 5| < 9
Same method as the last problem
Okay :D
no not at all
The method is still solving casewise for x+5>0 and x+5<0....
last problem was greater than, have to solve two separate inequalities, get TWO separate intervals this one is less than solve one compound inequality \[-9<x+5<9\] get ONE interval
The results are different, but the method is exactly the same.
method is entirely different, as are the results
The method is still precisely the piecewise solution of the equation for the case where the term within the absolute value is positive and for the case where that term is negative. It is exactly the same method.
you can espress solution different ways [x < 4, -5 <= x], [x < -5, -14 < x]
If you think the method is different it is because you are not using the proper method, you are using a derivation of the method that oversimplifies what the proper thought process is for handling the problem.
you can say x+5<9 and x+5<-9 right
No timo, the second one is x+5>-9
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