Question 539508


{{{2p+5>3p-10}}} Start with the given inequality.



{{{2p>3p-10-5}}} Subtract {{{5}}} from both sides.



{{{2p-3p>-10-5}}} Subtract {{{3p}}} from both sides.



{{{-p>-10-5}}} Combine like terms on the left side.



{{{-p>-15}}} Combine like terms on the right side.



{{{p<(-15)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{p}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{p<15}}} Reduce.



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Answer:


So the solution is {{{p<15}}} 



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