Question 912645
I'll do the first one to get you started




{{{8(z-3)<2(3-z)}}} Start with the given inequality.



{{{8z-24<6-2z}}} Distribute.



{{{8z<6-2z+24}}} Add {{{24}}} to both sides.



{{{8z+2z<6+24}}} Add {{{2z}}} to both sides.



{{{10z<6+24}}} Combine like terms on the left side.



{{{10z<30}}} Combine like terms on the right side.



{{{z<(30)/(10)}}} Divide both sides by {{{10}}} to isolate {{{z}}}. 



{{{z<3}}} Reduce.



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Answer:


So the solution is {{{z<3}}} 



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Thanks,


Jim