Question

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

x − y > 3
x + 2y < 6

(7, 1)

(3, 4)

(−2, 2) <- my answer plz correct me if im wrong

(4, −2)

Answer 1

not correct.

Answer 2

start plugging in points in the inequalities

say 3,4
3-4>3
-1 >3
FALSE

so, 3,4 is also not correct

Answer 3

can you do that same thing for 7,1 ?

Answer 4

and 4,-2 ?

Answer 5

i will try im not so good at this lesson so
4,-2
4-(-2)>4
did i do it right

Answer 6

sorry im not good at algebra

Answer 7

correct, go on!

Answer 8

4- (-2) = 4+2 = ...

Answer 9

what do I do next ?

Answer 10

6>4
thats true, right ?

Answer 11

yes

Answer 12

also check 2nd equation,
x+2y <6

4 +(2(-2)) <6

4-4 < 6
0<6
this is also true, right ?

Answer 13

Thank you so much :)

Answer 14

since both are true, 4,-2 is your answer! :)

Answer 15

welcome ^_^