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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?
@_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)
@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 ?
@_i-love-him_ I'm not putting you down, I'm just trying to guide you to the right answer.
I know and i'm trying to figure it out.
Is it 2?
Ok, what does the black bold dot on number -1 mean ?
Equal or greater?
Equal or greater than what ?
0, and 2?
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.
Can you put this into math symbols?
Ok. I'll be here if you need more help.
Thanks. -1, 0, 1, 2?
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.
Let's do an intermediate problem. "x is a negative number. Write an inequality for this statement."
>^< This is very confusing
How do we get x?
x is any number , an unknown Can you find the inequality for the intermediate problem ?
Not sure what the intermediate number is. I'm going to google that brb
-1, 0 ,2? if it isn't that i'm freaking clueless.
Ok, let's try this. Is it clear that "x is a negative number" and "x<0" have the same meaning?
Ok. The graph shows us every number greater than or equal to -1 and less than 3. Is this also clear ?
Yeah i got that.
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")
1, or 2. man i and tired of this. Thanks anyway...