Question 167887
# 1



{{{6x+y<-3}}} Start with the given inequality.



{{{6*(-3)+3<-3}}} Plug in {{{ x=-8}}} and {{{ y=3}}}.



{{{-18+3<-3}}} Multiply



{{{-15<-3}}} Add



Since the inequality is <b>true</b>, this means that (-8,3) is a solution to the inequality.



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# 2



{{{18<=3x-7<=-2}}} Start with the given compound inequality.



{{{18+7<=3x<=-2+7}}} Add 7 to ALL sides



{{{25<=3x<=-5}}} Add



{{{(25)/3<=x<=(-5)/3}}} Divide all sides by 3.



This is where the problem occurs: There is NO such number that is greater than {{{25/3}}} AND less than {{{-5/3}}}


So either there are no solutions, or you might have entered the problem incorrectly. So double check your book/worksheet.