Question

Which of the following ordered pairs is not a solution to the inequality y < -x + 4?

(1, 2)

(2, 1)

(4, 0)

(3, -2)

Answer 1

plug in the values for each solution given... if the outcome comes to where y is less than -x+4, then that is a solution.

Answer 2

so start with your first one...

2< - (1) + 4

what do you get?

Answer 3

2<5

Answer 4

since that is a true statement, 2 is in fact less than 5, the point (1, 2) that we plugged is in a solution

Answer 5

yup! now onto the next one.

1 < -(2) + 4

what do u get here?

Answer 6

1<6

Answer 7

not quite. -2 + 4 is basically 4-2. so you get 1<2

which is a solution. onto the next!

Answer 8

0< -(4) + 4

what do u get?

Answer 9

0<8

Answer 10

not quite. negative 4 plus positive four gives you zero.

do you understand that?

so this is falls cuz 0=0. 0 is not less than 0.

so lets check this last one to make sure.
-2<-(3) +4
-2< -3+4
-2<1

which is true.
so your answer is
(4, 0)

do you get it now?

Answer 11

yes thank you :)

Answer 12

np :)