Question

which point is NOT a solution of x+2y≤ 8?

a. (0,4)
b.(-2,3)
c.(4,4)
d. (6,0)

Answer 1

please help

Answer 2

The caveman way of doing this is to plug each choice in. Does it satisfy the equation?

Answer 3

For A, plug in 0 for x and 4 for y. Is it less than or equal to 8?
0 + 2(4) =< 8? 8 = 8, so the point (0,4) is a solution.

Answer 4

Thanks and so that all you bascially dojust plug in the points to see if they are correct or not ..

Answer 5

Right.

Answer 6

do you mind helping me with another one?

Answer 7

Is it the same concept?

Answer 8

yes but it isn't in y=mx+b form

Answer 9

Then put it in mx + b form?

Answer 10

Simply plug in those coordinates and see which is not true, using A,

\(\ \sf \Large (\color{orange}{x},\color{blue}{y}) \)

So, \(\ \sf \Large (\color{orange}{0},\color{blue}{4}) \)

\(\ \sf \Large \color{orange}{x} + 2\color{blue}{y} \le 8
\longrightarrow \color{orange}{0} + 2(\color{blue}{4}) \le 8 \longrightarrow 0 + 8 \le 8\)

\(\ \sf \Large Is ~~ 8 \le 8 ? ~~ Yes, 8 ~~ is ~~ equal ~~ to ~~ 8! \)

So A doesn't work.

Answer 11

y<-3
A.(1,-4)
B.(3,0)
C.(-2,-5)
D.(8,-7)

you see it is the exact same concept, but i dont understand how you would plug in the numbers to this one..

Answer 12

Well, this one is easier. We want the point that lies underneath the horizontal line, y = 3.

Answer 13

@tHe_FiZiCx99 then how do i find the right way, can you help me also..?

Answer 14

i see @iPwnBunnies so how would this help me find the one that doesn't work instead of the one that does work?

Answer 15

y = -3**

Answer 16

Sure, sec

Answer 17

@iPwnBunnies so this would indicate that the first one does work, but what about the ones that don't, because its asking me how to find the one that doesn't work

Answer 18

No, the first one works. The point is (1, -4). The y-value is -4. Isn't that less than -3?

Answer 19

@iPwnBunnies yes it does work, but i need to find the one that doesn't work you see that the problem, i need to find the one that DOESN'T work.

Answer 20

Well, in fact, you didn't write instructions for the second problem lol.

Answer 21

ohh ahah im sorry i thought we were talking about the first one ah my bad Cx

Answer 22

Since y < -3 has to be satisfied, a point with a Y-VALUE OVER -3 won't be a solution to the inequality.

Answer 23

So as Pwn said, this is a bit easier!

Simply plot a horizontal line at (0,-3) and it has to be dashed. Also, it's \(\ \sf \Large Less ~ than \) so you'll shade below the line.

Now look at option A, is (1, -4)

-4 is indeed less than -3

Answer 24

@iPwnBunnies what do you mean?
and the first one is the same thing i need to find the one that doesn't work also

Answer 25

@tHe_FiZiCx99 well can you help me on number one

Answer 26

Lopez, all 3 options work actually. Is it asking for a coordinate pair that Doesn't fit y < -3 ?

Answer 27

yes its asking for the ordered pair that isn't a solution of y<-3..

Answer 28

I just read your replies and it does seem you're looking for a par that doesn't satisfy y <-3

Well look at it this way!

Is -4 less than -3?
Is 0 less than -3?
Is -5 less than -3?
Is -7 less than -3?

One of them isn't less than! Once you answer them, you'll see which option it is :>

Answer 29

pair*

Answer 30

so the option so it would be D.?

Answer 31

Hm, is -7 LESS THAN -3 ?

Answer 32

yes it is..

Answer 33

isn't it?

Answer 34

So D doesn't work! You're looking for one that s greater than -3, one that doesn't go into the shaded area.

Answer 35

B. would be thr right answer than i thought we werte looking for the one that was smaller than -3.. also do you believe that you can help me on another one of these because i can use the help i can get..

Answer 36

Yes B is correct! Sure!

Answer 37

YES! and alright which point is NOT a solution of x+2y≤ 8? a. (0,4) b.(-2,3) c.(4,4) d. (6,0)
i didnt really understand how he/she explained it to me..

Answer 38

I thought you said you understood what I told you lol.

Answer 39

Plug in the points, see if they satisfy or don't satisfy the inequality.

Answer 40

i kinda did but i got lost in a few spots Cx lol sorry @iPwnBunnies

Answer 41

alright let me see @iPwnBunnies

Answer 42

Which ordered pair is NOT a solution of the inequality, 3x - 2y is greater than or equal to. 12
A. (-3, -10.5)
B. (-1, -7)
C. (0, -6)
D. (2, -3) @tHe_FiZiCx99 wrong equation sorry

Answer 43

:< I should have added an explanation to my LaTeX :/

Ok, take the first option, A.

\(\ \sf \Large (\color{blue}{X},\color{red}{Y}) \)

So on option A, \(\ \rightarrow 0 \leftarrow \) is \(\ \sf \Large \color{blue}{X}\)
And, \(\ \rightarrow 4 \leftarrow \) is \(\ \sf \Large \color{red}{Y}\)

So, \(\ \sf \Large \color{blue}{0} + 2(\color{red}{4}) \le 8 \)

\(\ \sf \Large \color{blue}{0} + \color{red}{8} \le 8 \longrightarrow 0 + 8 = 8 \)

Now think, is \(\ \sf \Large 8 \le 8 \) ?

Answer 44

Oh there you made a typo X_X I'm going to take a break from using LaTeX o_o it's tiring >.<

You could honestly plot this into a graphing calculator and see which ordered pair is not a solution to 3x + 2y ≥ 12

Answer 45

no it isn't that one because its equal which mean its the right one

Answer 46

What?

Answer 47

@tHe_FiZiCx99 ohhh i seee cx

Answer 48

:")

Answer 49

sorry idk what i wrote Cx

Answer 50

Ok, so can you answer 3x + 2y ≥ 12 now on your own? If you write your steps I can tell you if you made any mistakes :>

Answer 51

yeah i answered it , i was taking a quiz thats why it was online, and i still kjinda need help but its on percentages.

Answer 52

I'd suggest making a new thread and asking it there :P

Answer 53

yeah

Answer 54

thanks alot :)

Answer 55

You're welcome!

Answer 56

your good at math :)

Answer 57

Ty

Answer 58

welcome :)