SOLUTION: Hi! I Hope you've had a wonderful day! I need help on this problem! Please answer and show step by step!Thanks! 3+|8j-5|>=6 the problem in words: three plus the absolute value

Algebra ->  Inequalities -> SOLUTION: Hi! I Hope you've had a wonderful day! I need help on this problem! Please answer and show step by step!Thanks! 3+|8j-5|>=6 the problem in words: three plus the absolute value       Log On


   

Question 600320: Hi! I Hope you've had a wonderful day! I need help on this problem! Please answer and show step by step!Thanks!
3+|8j-5|>=6
the problem in words: three plus the absolute value of eight j minus five is greater or equal to six
Reply ASAP!
:)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%2Babs%288j-5%29%3E=6+ Start with the given inequality.


abs%288j-5%29%3E=6-3+ Subtract 3 from both sides.


abs%288j-5%29%3E=3+ Combine like terms.


8j-5%3E=3+ or 8j-5+%3C=+-3 Break up the absolute value into two inequalities.


8j%3E=3%2B5+ or 8j+%3C=+-3%2B5 Add 5 to both sides (for each case)


8j%3E=8+ or 8j+%3C=+2 Add


j%3E=8%2F8+ or j+%3C=+2%2F8 Divide both sides by 8


j%3E=1+ or j+%3C=+1%2F4 Reduce


So the solutions are j%3E=1+ or j+%3C=+1%2F4