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

just sub in all your x and y into the equations until you get something that doesn't make sense.

Answer 2

how do i do that

Answer 3

your points are int he form of (x,y)

Answer 4

(1,2) for example x=1 and y=2

Answer 5

y+x<4
just plugin the values of x&y to satisfy the above condition.

Answer 6

y<-x+4 so for the first one you would end up with 2<-1+4 which equals 2<3

Answer 7

is it D

Answer 8

b

Answer 9

no what did you get for b as you equation?

Answer 10

2 < -1 +4

Answer 11

solve the right hand side

Answer 12

-1 + 4 = 3

Answer 13

yup so your equation is 2<3 is this right or rwrong? this equation says that 2 is less than 3

Answer 14

its right

Answer 15

wait is it c because its 4 < 4

Answer 16

yup and your wuestion is asking what point makes this pint wrong.

Answer 17

yup :)

Answer 18

you got it

Answer 19

can you help with one more?

Answer 20

yea no problem

Answer 21

Part 1: Solve the compound inequality 3x + 6 > 36 and 3x + 6 54 and show all of your work. You can use <= to represent the less than or equal to symbol.
Part 2: Use complete sentences to describe the graph of the solution from Part 1.

Answer 22

okay lets look at your first compound inequality. 3x+6>36
attempt to solve this , what do you get?

Answer 23

well do i - 6 from both sides? or the 3?

Answer 24

subtract the 6

Answer 25

if you subtracted 3 you would get 3x+3>33 which is useless if your trying to get x all by itself on a side

Answer 26

from 36 and 3 right

Answer 27

or from 6 because you wanna cancel it out?

Answer 28

from the left side and the right side. so 3x + 6 -6>36-6

Answer 29

3x>42

Answer 30

you sure?

Answer 31

3x>30?

Answer 32

yup. now what would be your next step if you wanted to get one side to have just x
?

Answer 33

divide by 3 on both sides

Answer 34

x=10

Answer 35

yup and now whats your next equation?

Answer 36

oh wait x doest EQUAL to 10 but is rather ...

Answer 37

so now i do the other side the same

Answer 38

your equation was 3x>30 so x>10 not equal to 10

Answer 39

x=16

Answer 40

> yes

Answer 41

sorry

Answer 42

that's okay and I cant see your second equation what was it again?

Answer 43

x<16 (3x + 6 > 36 and 3x + 6 54)

Answer 44

okay for your second equation all I can see is 3x + 6 54
which makes no sense to me whats your sign > < or =

Answer 45

less than or equal to sorry didnt see that

Answer 46

now that i have that do i just put x<10 and x is less than or equal to 16 and thats the answer ?

Answer 47

x>10

Answer 48

now you have to graph it

Answer 49

and in you graph your x values hve to be less than ten or greater than o equal to 16

Answer 50

6 WOULD BE CLOSED CIRCLE TO THE RIGHT?

Answer 51

...where di you get 6 from?

Answer 52

16

Answer 53

yup then

Answer 54

and 10 would closed circle to the left

Answer 55

thats how i graph it right?

Answer 56

I think since your value cant be ten you would have to have an open acircle

Answer 57

and yes I think so

Answer 58

thank you so much!

Answer 59

no problem im glad to help :)