SOLUTION: Thank you in advance for helping me with writing this problem in interval notation. The absolute value of 5n-2<2 I have 0<n<4/5 But do not know how to write it in interval notat

Algebra ->  Inequalities -> SOLUTION: Thank you in advance for helping me with writing this problem in interval notation. The absolute value of 5n-2<2 I have 0<n<4/5 But do not know how to write it in interval notat      Log On


   

Question 149695This question is from textbook
: Thank you in advance for helping me with writing this problem in interval notation. The absolute value of 5n-2<2 I have 0 This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

abs%285n-2%29%3C2 Start with the given inequality


Break up the absolute value (remember, if you have abs%28x%29%3C+a, then x+%3E+-a and x+%3C+a)

5n-2+%3E+-2 and 5n-2+%3C+2 Break up the absolute value inequality using the given rule


-2+%3C+5n-2+%3C+2 Combine the two inequalities to get a compound inequality



0+%3C+5n+%3C+4 Add 2 to all sides


0+%3C+n+%3C+4%2F5 Divide all sides by 5 to isolate n



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Answer:

So our answer is

0+%3C+n+%3C+4%2F5



which looks like this in interval notation