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anonymous

  • one year ago

Please help me with writing inequalities for intervals and graphing them. Ex: [ -4,5] ( ∞, -1] or (3,∞) Can someone teach me how on these two problems. Thanks in advance.

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  1. phi
    • one year ago
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    how much do you know?

  2. anonymous
    • one year ago
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    not a lot

  3. phi
    • one year ago
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    [-4,5] means from-4 to +5

  4. anonymous
    • one year ago
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    oh okay so far that helped me tons

  5. phi
    • one year ago
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    to "graph" it, show a number line, and draw a line to show the numbers from -4 to +5 can you do that ?

  6. anonymous
    • one year ago
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    i think so

  7. anonymous
    • one year ago
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    i'm trying right now

  8. anonymous
    • one year ago
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    okay I did it

  9. phi
    • one year ago
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    the [ in [-4,5] means -4 is part of the answer to show that, put a solid dot at -4 ditto for the +5

  10. anonymous
    • one year ago
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    okay done

  11. phi
    • one year ago
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    |dw:1444425810562:dw|

  12. anonymous
    • one year ago
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    ooh yay! thank you

  13. phi
    • one year ago
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    for inequalities people use "x" for the number you want x "between" -4 and 5 you want x bigger than (or equal) to -4 and you want x less than or equal to +5

  14. anonymous
    • one year ago
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    so im going to use the less than or equal to sign when I write the inequality sign correct?

  15. anonymous
    • one year ago
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    -4 is less than or equal to x5?

  16. phi
    • one year ago
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    I would write it as -4 is less than or equal to x and x is less than or equal to 5

  17. anonymous
    • one year ago
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    thank you so so much

  18. anonymous
    • one year ago
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    for the next question does the ∞ in the problem mean that is goes on. meaning that it has no ending?

  19. phi
    • one year ago
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    you put the small point end of < or \(\le\) next to the smaller side, and the big fat side next to the bigger number

  20. phi
    • one year ago
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    infinity is not a number, it is more like an idea: "keep going" I assume you left out an minus sign and mean ( - ∞, -1] or (3,∞)

  21. anonymous
    • one year ago
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    yes sorry

  22. phi
    • one year ago
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    (- infinity, -1] to graph, put a solid dot at -1 (solid because of the ] ) and draw a solid line in the direction of more negative numbers. put an arrow on it to show it "keeps going"

  23. phi
    • one year ago
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    on the same graph put (3,∞) the ( 3 means it starts at 3 and ∞) means all numbers after 3 the ( part means 3 is not part of the graph, i.e. all numbers bigger than 3 but not including 3. Use an OPEN circle at 3 instead of a solid dot.

  24. anonymous
    • one year ago
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    okay so |dw:1444426396931:dw|

  25. phi
    • one year ago
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    yes, that is the first part

  26. anonymous
    • one year ago
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    okay then |dw:1444426668016:dw|

  27. phi
    • one year ago
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    yes. as inequalities it is \[ x \le -1 \cup x > 3 \]

  28. anonymous
    • one year ago
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    thank you so much phi

  29. anonymous
    • one year ago
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    is that all?

  30. phi
    • one year ago
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    yw

  31. anonymous
    • one year ago
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    have a nice night

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