Which points are solutions of the system? x + y> or equal to 1 x - 2y>6 Choose all answer that are correct (4,-2) (4,5) (6,3) (6,0) (6,4)

1 Answer
Oct 16, 2015

(4,-2)

Explanation:

Just substitute each ordered pair to the given. If the output of both inequalities are true, then the point is a solution to the system.

True inequalities will be colored blue will false inequalities will be colored red.

(4,-2)

x+y>=1
4+(-2)>=1
color(blue)(2>=1)

x-2y>6
4-2(-2)>6
4+4>6
color(blue)(8>6)

(4,-2) is a solution.

(4,5)

x+y>=1
4+5>=1
color(blue)(9>=1)

x-2y>6
4-2(5)>6
4-10>6
color(red)(-6>6)

(4,5) is not a solution.

(6,3)

x+y>=1
6+3>=1
color(blue)(9>=1)

x-2y>6
6-2(3)>6
6-6>6
color(red)(0>6)

(6,3) is a not solution.

(6,0)

x+y>=1
6+0>=1
color(blue)(6>=1)

x-2y>6
6-2(0)>6
6+0>6
color(red)(6>6)

(6,0) is not a solution.

(6,4)

x+y>=1
6+4>=1
color(blue)(10>=1)

x-2y>6
6-2(4)>6
6-8>6
color(red)(-2>6)

(6,4) is not a solution.