Question 115529
You are correct. You can simply check your answer by plugging in the solution


{{{x-2y>6}}} Start with the first inequality



{{{3-2(-5)>6}}} Plug in x=3, y=-5



{{{3+10>6}}} Multiply 



{{{13>6}}} Add. Since this inequality is true, the solution (3,-5) satisfies the first inequality



{{{x+4y<-4}}} Move onto with the second inequality



{{{3+4(-5)<-4}}} Plug in x=3, y=-5



{{{3-20<6}}} Multiply 



{{{-17<6}}} Add. Since this inequality is true, the solution (3,-5) satisfies the second inequality



Since the solution (3,-5) satisfies both of the inequalities, our answer is verified.