Question

Which of the following is the correct graph of the compound inequality 4p + 1 > −11 or 6p + 3 < 39? (1 point)

a number line with closed circles at -3 and 6 and shading in between.
number line with open dots at -3 and 6 and shading to the right of 6 and to the left of ¨C3.
number line with open dot at -2 and at 5 with shading in between.
number line with shading everywhere.

Answer 1

Number four

Answer 2

anybody?

Answer 3

Are you able to solve the inequalities for p?

Answer 4

no this is one thing i cannot do

Answer 5

What are you confused on with the problem?

Answer 6

OK. Take the first one, 4p + 1 > -11. You must isolate p by itself. How would you get rid of the +1 on the left side?

Answer 7

would you subtract 1 from both side

Answer 8

yes

Answer 9

Excellent. What does that leave you with?

Answer 10

3p and -12?

Answer 11

The right side is correct. But when you subtract 1 from the left side you get\[4p+1-1\]which simplifies to 4p. Get it?

Answer 12

oh yeah

Answer 13

OK. Now you have\[4p >-12\]How would you get rid of the 4?

Answer 14

subtract four from both sides so its p>-8

Answer 15

Not exactly. What mathematical operation (+,-,*,/) is happening between the 4 and the p?

Answer 16

multipliction

Answer 17

Right. So, to "undo" a multiplication, do the inverse operation which is...

Answer 18

division!!!! omg!!! I smart!!!

Answer 19

You bet! So, to "undo" a multiplication by 4, you would divide both sides by 4. What do you get?

Answer 20

p>3??

Answer 21

What about the negative sign on the right hand side? -12/4 = ?

Answer 22

oh yeah... p>-3?

Answer 23

Terrific. Now you have to go through similar steps to solve the other inequality for p. Give it a try and tell me what you get. You're doing great!

Answer 24

p<30 ......

Answer 25

@ospreytriple

Answer 26

Almost. First subtract 3 from both sides to give\[6p < 36\]. Now you have to divide both sides by 6. What do you get when you do that?

Answer 27

p<6

Answer 28

That's it. The hard part is done. Now you have\[p > -3 \text{ and } p < 6\]. Which graph shows this?

Answer 29

This is another part i have no clue about

Answer 30

OK. So you know that p has to be between -3 and 6. On the answer sheet, you're looking at the part of the number line in blue. Which one is blue from -3 to 6?

Answer 31

the first one

Answer 32

Sorry. I messed up. The correct answer could be either in blue or in yellow.
The first one is a great choice, but there is one small problem. You have to look at the ends of the line. If the circles are filled in (solid dots), it means that that point is considered to be part of the line. In the first one the end points are solid, meaning those points are included. What that looks like mathematically is \[p \ge -3 \text{ and } p \le 6\]And that's not the solution you got. If the endpoints are not to be included, you must choose end points that are hollow (little circles). Does all this make sense?

Answer 33

No im sorry I need help I have 1/3 question I had answered and I need help because Ive been on this site for two hours
@ospreytriple

Answer 34

OK. Your solution is that p must be greater than -3 and it must also be less than 6. So p=3 and p=6 are not part of your solution. This sound OK?

Answer 35

Because 3 and 6 are NOT part of your solution, you're looking for the graph that has little circles at 3 an 6, meaning they're not included. Can you find that graph?

Answer 36

hold on

Answer 37

is it the third one?

Answer 38

Looks to me like the little circles in the third one are at -2 and 5. If that's true, this is not the one you want.

Answer 39

thats not true

Answer 40

I've been looking at the other question on your screenshot. It looks like they are using a different convention than I am used to for the end points of the line segment. Looks like they use solid dots if the point IS NOT included and hollow circles if the point IS included. You'll have to confirm that by looking in your book. But, in that case, you were correct in choosing the first answer as the correct one. Sorry for the confusion, but sometimes things are different in different books.

Answer 41

okay see these things i dont know either!

Answer 42

oh wait i was looking at the wrong one you were right

Answer 43

The inequality being graphed is p<6 OR p> -3 .

I think you may be graphing p<6 AND p> -3 .

That is not the same as p<6 OR p> -3 .

Look again. I think the correct graph is shown.

Answer 44

Doesn't the term compound inequality imply both inequalities must by satisfied?

Answer 45

aaaaaaahhhhhh

Answer 46

Compound means "or" as well as "and."

Answer 47

Sorry for messing things up then. Well, we got to practice solving a couple of inequalities. Good luck.

Answer 48

The posted question states:

4p + 1 > −11 or 6p + 3 < 39

@ospreytriple Your work is not wasted.

Answer 49

help someone

Answer 50

i need math help please

Answer 51

p<6 OR p> -3