Question

Which point lies in the solution set for the following system of inequalities?

2x + y > 8
x − y < 2

A.(1, 1)
B.(3, 4)
C.(5, −2)
D.(6, 1)

Answer 1

multiply the second line by -1 so the sign will change...the system will become

2x + y > 8
-x + y > 2

now multiply your second equation by 2 to get the x canceled out

2x + y > 8
-2x + 2y > 4

can you solve for y now?

Answer 2

y = 4 then?

Answer 3

not equals... y> 4

now substitute 4 into

x - y < 2 what do you get?

Answer 4

x-4<2

Answer 5

now isolate x

Answer 6

x<6

Answer 7

?

Answer 8

WAHHH..you're gonna hate me now...but i made a mistake...i forgot to multiply 2 by -1 :S hehe

the system is supposed to be
2x + y > 8
-2x + 2y > -4

3y > 4
y > 4/3

sorry

Answer 9

lol its alright.. so how do i get the answer then? :o

Answer 10

so it becomes x - 4/3 < 2

x < 2 + 4/3
x < 10/3

so x is less than 3 something
y is greater than 1 something

can you find an ordered pair like that?

Answer 11

well it's x < 3.33
y > 1.333

if you wanna know those somethings

Answer 12

So the answer is D?

Answer 13

note..x is LESS than 3.33

6 is NOT less than that

Answer 14

6,1

Answer 15

ohh!

Answer 16

but it cane be 1,1 :(

Answer 17

so you're left with two options

Answer 18

I'm Fashinably late . If your a flvs student fan and medal me lol Anyways the answer to this is DEFINITELY (3,4)