Which points are solutions of the system? x>3 y< or equal to 2x-5 Choose all answers that are correct (4,-4) (4,8) (5,10) (6,0) (6,-2)

1 Answer
Oct 16, 2015

(4,-4), (6,0), (6,-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,-4)

x>3
color(blue)(4>3)

y<=2x-5
-4<=2(4)-5
-4<=8-5
color(blue)(-4<=3)

(4,-4) is a solution.

(4,8)

4>3
color(blue)(4>3)

y<=2x-5
8<=2(4)-5
8<=8-5
color(red)(8<=3)

(4,8) is not a solution.

(5,10)

5>3
color(blue)(5>3)

y<=2x-5
10<=2(5)-5
10<=10-5
color(red)(10<=5)

(5,10) is not a solution.

(6,0)

x>3
color(blue)(6>3)

y<=2x-5
0<=2(6)-5
0<=12-5
color(blue)(0<=7)

(6,0) is a solution.

(6,-2)

x>3
color(blue)(6>3)

y<=2x-5
-2<=2(6)-5
-2<=12-5
color(blue)(-2<=7)

(6,-2) is a solution.