Question

( I will give a medal!!!)

Which point is a solution for this system of inequalities?

y > -x

y < 2x


(5, 1)


(-3, -2)


(-1, 5)


(0, 0)

Answer 1

either you can graph these inequalities or you can check by putting these points in them and check whether they satisfy the inequalities or not..!

Answer 2

for e.g., if (5,1) is the solution of these inequalities then it should satisfy both of them.
(5,1) says that x=5 and y=1
so just check whether it satisfies or not.
1: y>-x
1>-5
which is true.
2.: y<2x
1<2*5
1<10
which is also true.
so (5,1) is the solution of the system of inequalities.

Answer 3

similarly, you can check for the other 3 options.