Question 243524


{{{-2(p-3)+5>-7}}} Start with the given inequality.



{{{-2p+6+5>-7}}} Distribute.



{{{-2p+11>-7}}} Combine like terms on the left side.



{{{-2p>-7-11}}} Subtract {{{11}}} from both sides.



{{{-2p>-18}}} Combine like terms on the right side.



{{{p<(-18)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{p}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{p<9}}} Reduce.



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Answer:


So the solution is {{{p<9}}}