Question 179312
I'll do the first two to get you started


# 1


{{{9-8y>5-7y+2}}} Start with the given inequality.



{{{9-8y>-7y+7}}} Combine like terms on the right side.



{{{-8y>-7y+7-9}}} Subtract {{{9}}} from both sides.



{{{-8y+7y>7-9}}} Add {{{7y}}} to both sides.



{{{-y>7-9}}} Combine like terms on the left side.



{{{-y>-2}}} Combine like terms on the right side.



{{{y<(-2)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{y}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{y<2}}} Reduce.



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Answer:


So the answer is {{{y<2}}} 



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# 2


{{{4(2y-3)>28}}} Start with the given inequality.



{{{8y-12>28}}} Distribute.



{{{8y>28+12}}} Add {{{12}}} to both sides.



{{{8y>40}}} Combine like terms on the right side.



{{{y>(40)/(8)}}} Divide both sides by {{{8}}} to isolate {{{y}}}. 



{{{y>5}}} Reduce.



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Answer:


So the answer is {{{y>5}}}