Question

Select the inequality that corresponds to the given graph.

4x - 3y > - 12

-x + 4y > 4

4x - 2y < - 8

2x + 4y - 16

Answer 1

What is the last choice?

Answer 2

all the choices are listed

Answer 3

The last one you listed isn't an inequality as you wrote it

Answer 4

oh sorry one part didnt past
2x + 4y >= - 16

Answer 5

Well, can you tell me the x and y-intercepts for all of these? The equation is in standard form Ax + By = C (we'll pretend they are equalities for the moment) so the x-intercept (y = 0) is at (C/A, 0) and the y-intercept (x = 0) is at (0, C/B). To be a contender, the x-intercept has to be at (-4,0) and the y-intercept at (0, 1).

Answer 6

not really. im not good at this at all.

Answer 7

I just told you how to find them. Plug in the numbers and tell me your results for each choice.

Answer 8

nvm i got that one, can u help me with another ?

Answer 9

For example, the first one:

\[4x - 3y \gt 12\]
\[A = 4, B = -3, C = 12\]
\[(12/4,0), (0, 12/-3) \rightarrow (3,0), (0, -4)\]

Answer 10

Sure, if you tell me the correct answer!

Answer 11

well i put B and it said i was right.

Answer 12

good one @whpalmer4 :)

Answer 13

Well, let's see the next question, then. Maybe we can hone your guessing skills, if nothing else.

Answer 14

Choose the correct description of the graph of the inequality -4x < 20.

Open circle on 5, shading to the left.

Closed circle on 5, shading to the left.

Open circle on -5, shading to the right.

Closed circle on -5, shading to the right.

Answer 15

Well, we can eliminate half the choices if we decide whether a less than or a greater than means an open or closed circle. What do you think?

Answer 16

im pretty sure it would be closed circle since its -4

Answer 17

A closed circle means to include the point, right? Do you want to include the point?

Answer 18

yeaa sure

Answer 19

Okay, you have two choices with closed circles, which one are you choosing?

Answer 20

idk. it hasnt been explained.

Answer 21

That's pretty mean to test you on things you haven't been taught! We'll have to use our wits to figure out the answer. What is the value of x where -4x = 20?

Answer 22

i mean u havent explained. and its a pretest, they want to see what i already know.

Answer 23

i cant really choose which answer is best when only one asset of the problem has been explained.

Answer 24

When you've figured that out, think a bit on whether or not that point satisfies the inequality, and decide whether you want to include it or not. Good luck!

Answer 25

your not really helping. at all. i already said i dont know how to do this. so what makes u think i will automatically know how to solve it just because u told me to ? @whpalmer4

Answer 26

I've broken it down into pieces that you should be able to answer, if you think.

If you don't know the material, that's okay. As you said, it's a pretest, to find out what you know. Clearly, you don't know this material, so the results of the pretest will tell the instructor that you need to learn it. You would prefer not to learn it?

Answer 27

i prefer to elarn it. but jus asking me what i think it would be, then not explainging how to solve it or anything and saying good luck, isnt breaking it down.

Answer 28

Look, you need to decide where it is that -4x < 20 stops being true. You can figure it out all by yourself if you stop insisting that you cannot. What value of x makes -4x = 20?

Answer 29

i have no clue ! i dont know how to find out the value. so by telling me that i do know, is not gunna make me know ! try explaining how to find the value instead of telling me to do it. i dont know how, and i wont know how until u or someone else decides to stop being a holes and explain it to me.

Answer 30

You don't know how to solve -4x = 20? Seriously? What grade are you in?

What number times 4 gives you 20?

Answer 31

5

Answer 32

Okay. 4 * 5 = 20. What does -4 * 5 = ?

Answer 33

im in tenth. but i have severe brain problems that make me lack educational wise. but thanks for still being an a hole about it.

Answer 34

-20. this explaination should have been done 3 hours ago. -_-

Answer 35

Good. You just figured out the value of x in the equation -4x = 20. That's a necessary step to solve this problem.

Stop acting like anyone here owes you anything. If you want to be civil, I'll continue to help you. Otherwise, I'll help someone else. Your choice.

Answer 36

when u decide to help me, u owe me an explaination to the problem along with help to figure out the answer. u have been helping others for a while. i think its my turn. but fine. go away then. iv already submitted the quiz.

Answer 37

You're too busy feeling pissed off that I'm not telling you which answer you should select to notice that I am explaining the problem to you, step by step.

Do you want to see how to solve -4x = 20?

Answer 38

iv been trying tog et u to explain it to me but u didnt until now. and im pissed cuz your like the 4th user to ignore me and give me prolems. and iv already submitted the quiz. it doesnt matter. ill have the teacher explain it to me. she doesnt make me wait 3 hours. bye bye

Answer 39

Yes, the teacher would be an excellent resource. Presumably, she gets paid to put up with your attitude, unlike the volunteers here.

I like a challenge. Do you want to work through this problem, or not?

Answer 40

i dont give my teacher an attitude. she helps me understand, and i get my answer and explaination in under 5 min.
btw 3 hours 30 min and counting with no explaination. jus a hassle

Answer 41

If your teacher was doing a good job, you wouldn't be here asking for an explanation. I'm trying to teach you how to figure these things out for yourself, so you can get an answer when you don't have someone else to ask. You got slow responses from me because you refused to answer my questions. I asked you 3 hours ago about -4x = 20.

Answer 42

I'm sorry that I don't just give you answers like the other guys who look at your picture, but I'm going to help you learn this, even if it kills both of us :-)

Answer 43

We've got an inequality, -4x < 20. We want to figure out which of these choices matches:
Open circle on 5, shading to the left.

Closed circle on 5, shading to the left.

Open circle on -5, shading to the right.

Closed circle on -5, shading to the right.

Solving -4x = 20 tells us the exact spot where the circle goes. It goes at -5, because -4(-5) = -20. Hooray, we've ruled out two of the possibilities! That leaves us with:

Open circle on -5, shading to the right.

Closed circle on -5, shading to the right.

Answer 44

Now, we need to figure out which way the shading goes, so we pick a point near x = -5, but not right on it. Let's try x = -4, which is 1 unit to the right. Plug that into the inequality, is it still true?

Answer 45

Is -4 * -4 < 20?

Answer 46

You can use a couplet by WH Auden to remember how to figure out the sign of a multiplication problem with negative numbers:

"Minus times minus is plus.
The reason for this we need not discuss."

:-)

Answer 47

like i said before, i dont jus want the answers. i want the explaination then the answer.
anyway,i think its Open circle on -5, shading to the right.

Answer 48

That's great. Answer the question, please. Is -4 * -4 < 20? We're trying to figure out how to get the answer when we don't have a list from which to choose. We've found one end of the shaded area, and we need to know whether it goes to the right or the left from there.

Answer 49

yes. i think -4 * -4 < 20. to the right, right ?

Answer 50

Great! So we know that the shaded area is to the right, because a point to the right of the endpoint satisfied the inequality. Now the only portion left to determine is whether we use an open or closed circle. Do you know which circle means include the point, and which means do not include the point?

Answer 51

what do u mean by including the point ?

Answer 52

Well, there are two different circle types, open and closed, right? They must have different meanings, agreed? We've got two different kinds of inequality symbols: \(\lt,\gt\) and \(\le, \ge\). Mathematicians never do anything without a reason.

Answer 53

oh okay. well maybe its an open circle.

Answer 54

An open circle doesn't include the point in the circle. We use an open circle if there is no equal component on the inequality sign. If our inequality was instead \(-4x \le 20\), the point \(x = -5 \) would satisfy the inequality, so we would want a closed circle to indicate that the point was included. Does that make sense?

Answer 55

You may not give yourself credit, but I bet you could have figured that all out. For these inequalities, first find the endpoint (by solving it as an equality), then test a point to see which side of the endpoint satisfies the inequality, and finally choose the circle type based on whether it is an inequality that includes an equals sign, or one that does not. Careful, methodical work carries the day.

Answer 56

yes it makes sence, one question though. why would i give myself credit ?