Question

Please help for 50 points

Which of the following points are solutions to the given system?
3x-4y<10
2x+6y≥-8

Select all that apply
(0, 4)
(2, –1)
(2, –2)
(8, 2)
(–1, –1)

Answer 1

Answer: (0,4) and (-1,-1)

Explanation:

1) Plug in all of each equation

1a) (0,4)

3(0)-(4)<10

0-4< 10

-4< 10

2(0)+6(4)>=-8

0+24 >= -8

24>= -8

Works!

1b) (2,-1)

3(2)-4(-1)<10

6+4<10

10<10

Nope.

1c) (2,-2)

3(2)-4(-2)<10

6+8<10

14<10

Nope.

1d) (8,2)

3(8) -4(2) < 10

24 - 8 < 10

16<10

Nope.

1f) (-1,-1)

3(-1)-4(-1) < 10

-3 +4 < 10

1 < 10

2(-1)+6(-1)>=-8

-2+-6 >= -8

-8 >= -8

Works.