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anonymous

  • one year ago

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.

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  1. anonymous
    • one year ago
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    Number 8

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  2. marinos
    • one year ago
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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?

  3. anonymous
    • one year ago
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    Actually no.

  4. marinos
    • one year ago
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    @_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)

  5. marinos
    • one year ago
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    @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 ?

  6. marinos
    • one year ago
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    @_i-love-him_ I'm not putting you down, I'm just trying to guide you to the right answer.

  7. anonymous
    • one year ago
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    I know and i'm trying to figure it out.

  8. anonymous
    • one year ago
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    Is it 2?

  9. marinos
    • one year ago
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    Ok, what does the black bold dot on number -1 mean ?

  10. anonymous
    • one year ago
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    Equal or greater?

  11. marinos
    • one year ago
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    Equal or greater than what ?

  12. anonymous
    • one year ago
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    0, and 2?

  13. marinos
    • one year ago
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    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.

  14. marinos
    • one year ago
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    Can you put this into math symbols?

  15. anonymous
    • one year ago
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    I'll try.

  16. marinos
    • one year ago
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    Ok. I'll be here if you need more help.

  17. anonymous
    • one year ago
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    Thanks. -1, 0, 1, 2?

  18. marinos
    • one year ago
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    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.

  19. marinos
    • one year ago
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    Let's do an intermediate problem. "x is a negative number. Write an inequality for this statement."

  20. anonymous
    • one year ago
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    >^< This is very confusing

  21. anonymous
    • one year ago
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    How do we get x?

  22. marinos
    • one year ago
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    x is any number , an unknown Can you find the inequality for the intermediate problem ?

  23. anonymous
    • one year ago
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    Not sure what the intermediate number is. I'm going to google that brb

  24. anonymous
    • one year ago
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    Back

  25. anonymous
    • one year ago
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    -1, 0 ,2? if it isn't that i'm freaking clueless.

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

  27. anonymous
    • one year ago
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    Yeah

  28. marinos
    • one year ago
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    Ok. The graph shows us every number greater than or equal to -1 and less than 3. Is this also clear ?

  29. anonymous
    • one year ago
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    Yeah i got that.

  30. anonymous
    • one year ago
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    brb dinner

  31. marinos
    • one year ago
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    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")

  32. anonymous
    • one year ago
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    1, or 2. man i and tired of this. Thanks anyway...

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