Question

what points is in the solution set of y < x^2 - 4x + 3?

(2, -1)?

Answer 1

simply substitute x = 2 and y = -1

-1 < (2)^2 - 4(-2) + 3

-1 < 4 + 8 + 3

-1 < 15

is this true? is -1 less than 15?

Answer 2

-1 < 15 is right

Answer 3

wait isnt it -16?

Answer 4

4 +8 = 12

12 + 3 = 15

Answer 5

-16<0 which is also true

Answer 6

anyway since it's true that -1 < 15

then you are right

Answer 7

ok thanks.

Answer 8

wait you're right...i made a mistake in my calculation

-1< (2)^2 - 4(2) + 3

-1 < 4 - 8 + 3

-1 < -1

this is not true so it's not a solution

Answer 9

okay, so i got it wrong the first time yeah?

Answer 10

if i did, i shall try again..

Answer 11

yes. you need to try another ordered pair

Answer 12

okay, can you check my answer again after i show my work? thanks.

Answer 13

sure

Answer 14

i tried (-3, 0)
-3 < (0)2 - 4(0) + 3
=-6

Answer 15

i think this is true, do you think so?>

Answer 16

-3 < (0)^2 - 4(0) + 3

-3 < 3

yes it is true

Answer 17

however...

Answer 18

you substituted it wrong

Answer 19

should be 0 < (3)^2 - 4(3) + 3

0< 9 - 12 + 3

0 < 0

this is not true

Answer 20

hmm, so its wrong again.. aish:( ok i'll try it again

Answer 21

go for it

Answer 22

i tried (1, 0)
so 0 < (1)2 - 4(1) + 3
0 <1x2-4x1+3
=-1?

Answer 23

it's not 1 x 2 it's 1^2 that means 1 x 1

Answer 24

ooh oops sorry i'll try i tagin.

Answer 25

again*

Answer 26

sure

Answer 27

0 < 1^2 - 4(0) + 3
=-4?

Answer 28

why did it suddenly become 4(0)?

Answer 29

oh God. i get confused. so sorry! wwait.

Answer 30

0 < 1^2 - 4(1) + 3

Answer 31

right. what does that become then?

Answer 32

0<0 false

Answer 33

correct

Answer 34

so find a different ordered pair

Answer 35

i think (-3, 0) is right..
0 < (-3)2 - 4(-3) + 3
=-9, true.

Answer 36

you're 1/3 right and 3/4 wrong hehe

you're 2/3 wrong because

1) 0 is NOT less than -9
2) (-3)^2 - 4(-3) + 3 is NOT equal to -9

you're 1/3 right because

0 < (-3)^2 - 4(-3) + 3

0 < 9 + 12 + 3

0 < 24

and this is true

Answer 37

you're 1/3 right and 2/3 wrong*

my math was wrong in my first statement =))

Answer 38

i dont get it.. :(

Answer 39

you did a wrong calculation

Answer 40

0 < (-3)^2 - 4(-3) + 3
0 < 9 + 12 + 3
0 < 21 + 3
0 < 24

thus his is true

Answer 41

thus (-3,0) is correct

Answer 42

:/ oh.. okay. i got it not. thank you!!

Answer 43

got it now*

Answer 44

welcome^_^