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.

- anonymous

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- anonymous

Number 8

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- marinos

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?

- anonymous

Actually no.

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- marinos

@_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)

- marinos

@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 ?

- marinos

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

- anonymous

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

- anonymous

Is it 2?

- marinos

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

- anonymous

Equal or greater?

- marinos

Equal or greater than what ?

- anonymous

0, and 2?

- marinos

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.

- marinos

Can you put this into math symbols?

- anonymous

I'll try.

- marinos

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

- anonymous

Thanks.
-1, 0, 1, 2?

- marinos

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.

- marinos

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

- anonymous

>^< This is very confusing

- anonymous

How do we get x?

- marinos

x is any number , an unknown
Can you find the inequality for the intermediate problem ?

- anonymous

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

- anonymous

Back

- anonymous

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

- marinos

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

- anonymous

Yeah

- marinos

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

- anonymous

Yeah i got that.

- anonymous

brb dinner

- marinos

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")

- anonymous

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

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