Question 146275
# 1





{{{-3-8x>29-7}}} Start with the given inequality.



{{{-3-8x>22}}} Combine like terms on the right side.



{{{-8x>22+3}}} Add {{{3}}} to both sides.



{{{-8x>25}}} Combine like terms on the right side.



{{{x<(25)/(-8)}}} Divide both sides by {{{-8}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x<-25/8}}} Reduce.



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Answer:


So the answer is {{{x<-25/8}}} 



Which approximates to {{{x<-3.125}}} 






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# 2




{{{-x<6}}} Start with the given inequality.



{{{x>(6)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>-6}}} Reduce.



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Answer:


So the answer is {{{x>-6}}}