Question

Which ordered pair is not in the solution set of x-2y<6?
a) (2,-2)
b) (0,0)
c)(5,1)
d)(1,-6)

thank you

Answer 1

an explanation would be lovely too. thanks :)

Answer 2

ok.we got both x and y coordinates with us.so simply start putting it in equation.
a) 2-2(-2)<6
2+4 <6
6<6
No,that is not correct.What do you think?

Answer 3

Okay, so next would be
0,0
so
0+0(-2)<6
so that would be
-2<6
thats right yes?

Answer 4

yes thats correct.what about the next one?

Answer 5

next is 5,1
so
5+1(-2)<6
6+-2<6
-4<6 that would be correct

Answer 6

Great.You got it.Lets proceed to the last one..

Answer 7

1,-6
1+-6<6
-5<6
that would also be correct

Answer 8

nvm i forgot to add the -2!

Answer 9

one second

Answer 10

But in (c),you did a small mistake that is 6+-2=4 not -4..But fortunately it will not change the conclusion.

Answer 11

1,-6
1+-6(-2)<6
13<6
that wouldn't be correct

Answer 12

Sorry for distracting..

Answer 13

no thank you for telling me

Answer 14

Yes,so we got two answers (a) and (d).Not possible..!Is it only less than or is it less than and equal to sign in the equation??

Answer 15

its less than or equal too in the equation. so would that make it choice a?

Answer 16

So it makes choice (a) correct....But the questions wants us to point out which one is not correct.So,
Congratz,(d) is the only answer left.

Answer 17

Thank you so much for your help and explaning this to me!