Question 352484
# 1


{{{7x+2>4x+15}}} Start with the given inequality.



{{{7x>4x+15-2}}} Subtract {{{2}}} from both sides.



{{{7x-4x>15-2}}} Subtract {{{4x}}} from both sides.



{{{3x>15-2}}} Combine like terms on the left side.



{{{3x>13}}} Combine like terms on the right side.



{{{x>(13)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}. 



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Answer:


So the solution is {{{x>13/3}}} 


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# 2


{{{3(x-7)>18}}} Start with the given inequality.



{{{3x-21>18}}} Distribute.



{{{3x>18+21}}} Add {{{21}}} to both sides.



{{{3x>39}}} Combine like terms on the right side.



{{{x>(39)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}. 



{{{x>13}}} Reduce.



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Answer:


So the solution is {{{x>13}}} 



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