Question

Determine the type of boundary line and shading for the graph of the inequality -4x - y less than or greater to -2
Choose one answer.
a. Dashed line with shading on the side that includes the origin.
b. Solid line with shading on the side that does not include the origin.
c. Dashed line with shading on the side that does not include the origin.
d. Solid line with shading on the side that includes the origin.

Answer 1

so dashed line a or c

Answer 2

y ≥ 2 - 4x

Answer 3

the orgin is (0,0) ?

Answer 4

yesss, origin is always (0,0). :)
To check if the side where the origin lies is shaded or not, sub in (0,0) into your equation and see if it is a solution or not.

Answer 5

0 ≥ 2- 0 ??????

Answer 6

yepp, exactly like that.
So y ≥ 2 - 4x, and we plugged in (0,0) ... so
0 ≥ 2 - 0
0 ≥ 2
Is this true or false?

Answer 7

false!

Answer 8

yeep :)
And what happens if it is false?
Do we shade the side with the origin or the other side?

Answer 9

Other side?

Answer 10

so c!

Answer 11

yyeeesss! ^_^!

Answer 12

WAIT

Answer 13

God you make it so easy. I appreciate the help very much!

Answer 14

y ≥ 2 - 4x
look at your sign :O

Answer 15

wot o:

Answer 16

≥ means shaded line!

Answer 17

*solid line

Answer 18

you are right.

Answer 19

so d!

Answer 20

xD now i think you're a bit confused..
okay so first we know that the sign is ≥ meaning a SOLID line
Then we tested (0,0) and found that it was false when we subbed it in and that hte origin is NOT included so it must be the other side

Answer 21

oh i thought d was not including. My bad D:

Answer 22

B is d answer :)
?

Answer 23

it's aaalll good. Yes "b" is correct :)

Answer 24

whew. - Virtual high five -

Answer 25

Thank you, Do you know anything about ordered pairs + inequalities?

Answer 26

*high five* ^_^!
hmmm maybe? I could take a look LOL

Answer 27

Which of the following ordered pairs is not a solution to the inequality y less than or greater to -3x - 5?
Choose one answer.
a. (-4, 0)
b. (0, 0)
c. (-3, 0)
d. (-2, 0)

Answer 28

oh this is basically what we did before..
But this time instead of plugging in (0,0)... we plug in the other coordinates.

Answer 29

And if it is false then that is the answer?

Answer 30

yepp..
but quick question. when you say "less than or greater to" which symbol are you referring to? like... \[\le \ge > < ? \]

Answer 31

http://gyazo.com/72e8703d46478d64907d0d6baa4c46a0

Answer 32

i just copy and paste this. thats how it came out haha

Answer 33

ohh okaaayy! that sign is called less than or equal to LOL

Answer 34

I know i looked at it after and was wondering how to write what i copied and pasted down on paper.

Answer 35

Like copy+paste pls :c

Answer 36

haha i read it and just stared at it like O.O ??
anywaaays, have you solved the problem yet? :)

Answer 37

Slowly am o:

Answer 38

okey dokeyyy

Answer 39

b?

Answer 40

that's corrrect! :D

Answer 41

yey :3

Answer 42

LOL see, it isn't as hard as you think :) Good job

Answer 43

Which of the following ordered pairs is a solution to the inequality y less than or greater to -2x + 8?
Choose one answer.
a. (0, -4)
b. (5, -1)
c. (7, 0)
d. (9, 1)

Answer 44

You are great help <3

Answer 45

This is the last one

Answer 46

y ≤ -2x + 8

Answer 47

so just plug it all in

Answer 48

yyeep

Answer 49

-1 ≤ -10 + 8

-4 ≤ 8

0 ≤ -14 + 8

1 ≤ -18 + 8

Answer 50

those are the 4 i got

Answer 51

wait i just realised that it is b.......

Answer 52

jesus

Answer 53

@butterflydreamer

Answer 54

remember we're trying to find one which is TRUE this time because we want a point which is a solution.
so,
y ≤ -2x + 8

a. (0, -4)
-4 ≤ 0 + 8
-4≤8

b. (5, -1)
-1 ≤ -2(5) + 8
-1≤ -10 + 8
-1 ≤ -2

c. (7, 0)
0≤ -2(7) + 8
0 ≤ -14 + 8
0 ≤ -6


d. (9, 1)
1≤ -2(9) + 8
1 ≤ -18 + 8
1 ≤ -10


Which one is true? This will be your solution!

Answer 55

b!

Answer 56

is -1 less than or equal to -2?

Answer 57

a my bad. i mixed my questions up on my paper haha

Answer 58

i wrote them in order and mixed up a and b

Answer 59

yeesss a is coorrectt

Answer 60

That is all i had left for my review thank you !

Answer 61

wooohhoooo~ No problem ^_^!

Answer 62

One more question though, do you play any video games o:?

Answer 63

hahaha no i don't xD