Question

Which of the following points is a solution of the system of inequalities below?

x + y > 6

y > x


(6, 10)


(2, 1)


(5, -4)


(0, -4)

Answer 1

test your points

Answer 2

it must be true for both inequalities

Answer 3

you have to use the x and y values of each point and substitute in both equations to see if you get them right

Answer 4

for example, for (6,10) ---> 6+10=16 which is indeed > 10 , and for the second equation, 10>6 , so this point satisfies both equations

Answer 5

now you have to do the same for the rest of the points

Answer 6

if you graph both inequalities and shade the solution area, you will see that you have many points that are solutions. It seems that you will have to pick more than one point to suffice your answer.