SOLUTION: please help me solve this problem -4/3z -6 < -8z + 3

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Question 283987: please help me solve this problem
-4/3z -6 < -8z + 3

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
%28-4%2F3z%29-6%3C-8z%2B3 i treat these inequalities as equations but keep in mind of the simple division or multiplication of a negative number will change the direction of the inequality sign.
%28-4%2F3%29z-6%3C-8z%2B3 add 8z
%28-4%2F3%29z%2B8z-6%3C%2B3add 6
%28-4%2F3%29z%2B%2824%2F3%29z%3C9find common denominator and add
%2820%2F3%29z%3C9multiply both sides by 3
20z%3C27divide by 20
z=27%2F20