Question

Can someone help me solve this and explain how it is done?
8. Write a compound inequality that the graph could represent. i have the page for my work, i don't know how to save a selected image sorry.

Answer 1

Number 8

Answer 2

The question asks you to write a 'compound inequality' to represent the graph.
First of all, do you realize what is it shown on the graph?

Answer 3

Actually no.

Answer 4

@_i-love-him_ that's not right.
The question wants us to express as a 'compound inequality' what is shown on the graph, which is the bold segment.
e.g. number 1 is covered by the bold segment, whereas -2 is not.
In general, the bold segment covers every number greater than or equal to -1 AND AT THE SAME TIME less than 3.
How should you revise your answer ? (Hint: you are very close)

Answer 5

@Ashtaroth the graph indicates the numbers covered by the bold segment.
e.g. number 1 is covered by the bold segment, whereas -2 is not.
In general, the bold segment covers every number greater than or equal to -1 AND AT THE SAME TIME less than 3.
Now, we need a 'compound inequality' to express this. A 'compound inequality' contains at least two inequalities that are separated by either "and" or "or".
How can you express the black segment as an inequality ?

Answer 6

@_i-love-him_ I'm not putting you down, I'm just trying to guide you to the right answer.

Answer 7

I know and i'm trying to figure it out.

Answer 8

Is it 2?

Answer 9

Ok, what does the black bold dot on number -1 mean ?

Answer 10

Equal or greater?

Answer 11

Equal or greater than what ?

Answer 12

0, and 2?

Answer 13

No. The black bold segment covers every number from -1 up to 3, including -1 and excluding 3. That's the interpretation of the graph.

Answer 14

Can you put this into math symbols?

Answer 15

I'll try.

Answer 16

Ok. I'll be here if you need more help.

Answer 17

Thanks.
-1, 0, 1, 2?

Answer 18

No. What you just answered is "the INTEGER numbers that are represented on the graph". However, the bold black segment covers many other numbers, such as 1.5 , 2.324 , -0.9995 etc Actually, we cannot list all these numbers because they are infinite, so we need to use an inequality to express them.

Answer 19

Let's do an intermediate problem. "x is a negative number. Write an inequality for this statement."

Answer 20

>^< This is very confusing

Answer 21

How do we get x?

Answer 22

x is any number , an unknown

Can you find the inequality for the intermediate problem ?

Answer 23

Not sure what the intermediate number is. I'm going to google that brb

Answer 24

Back

Answer 25

-1, 0 ,2? if it isn't that i'm freaking clueless.

Answer 26

Ok, let's try this.
Is it clear that "x is a negative number" and "x<0" have the same meaning?

Answer 27

Yeah

Answer 28

Ok. The graph shows us every number greater than or equal to -1 and less than 3. Is this also clear ?

Answer 29

Yeah i got that.

Answer 30

brb dinner

Answer 31

Now try to express in symbols the following:

a) "x is grater than or equal to -1"

b) "x is less than 3"

(Hint: just like the example "x is negative")

Answer 32

1, or 2. man i and tired of this. Thanks anyway...