Question 737179
Type <= to mean "less than or equal"




{{{5k-3(2-k)-2(k-5)<=-2}}} Start with the given inequality.



{{{5k-6+3k-2k+10<=-2}}} Distribute.



{{{6k+4<=-2}}} Combine like terms on the left side.



{{{6k<=-2-4}}} Subtract {{{4}}} from both sides.



{{{6k<=-6}}} Combine like terms on the right side.



{{{k<=(-6)/(6)}}} Divide both sides by {{{6}}} to isolate {{{k}}}. 



{{{k<=-1}}} Reduce.



----------------------------------------------------------------------


Answer:


So the solution is {{{k<=-1}}}