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)

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Answer 1 · 2015-10-16T18:29:23

(4,-2)

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.