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KaylaRdz0405

  • one year ago

What are the integer solutions of the inequality |x| < 4? A. –3, –2, –1, 0, 1, 2, and 3 B. 0, 1, 2, and 3 C. 0, 1, 2, 3, and 4 D. –4, –3, –2, –1, 0, 1, 2, 3, and 4

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  1. KaylaRdz0405
    • one year ago
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    is it a

  2. KaylaRdz0405
    • one year ago
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    @limecake08

  3. KaylaRdz0405
    • one year ago
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    @BishopPatton

  4. KaylaRdz0405
    • one year ago
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    @pooja195

  5. KaylaRdz0405
    • one year ago
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    @AmberAlexis

  6. freckles
    • one year ago
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    |x|<4 means that we want to find all x such that x's distance from 0 has a distance less than 4 so of the following numbers which have a distance less than 4 from 0: ...,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,...?

  7. KaylaRdz0405
    • one year ago
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    -6,-5,-4,-3,-2,-1,0,1,2,3

  8. freckles
    • one year ago
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    the distance from -6 to 0 is 6 and 6 is greater than 4 so -6 will not work what about -5 and -4?

  9. KaylaRdz0405
    • one year ago
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    no that wouldnt work either right

  10. freckles
    • one year ago
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    right because both of those have distances either equal to or greater than 4 from 0

  11. freckles
    • one year ago
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    -3,-2,-1,0,1,2,3 all have a distance from 0 that is less than 4

  12. KaylaRdz0405
    • one year ago
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    ok yes i got that

  13. freckles
    • one year ago
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    in other words all of the following inequalities are true: |-3|<4 |-2|<4 |-1|<4 |0|<4 |1|<4 |2|<4 |3|<4

  14. KaylaRdz0405
    • one year ago
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    so then my answer is a

  15. freckles
    • one year ago
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    right and your question definitily isn't \[|x| \le 4 \text{ right? }\]

  16. freckles
    • one year ago
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    because that equal part will make a little difference

  17. KaylaRdz0405
    • one year ago
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    yes

  18. freckles
    • one year ago
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    ok cool stuff if it was find all integer x such |x|<=4 you include all of the answers we already found plus -4 and 4

  19. KaylaRdz0405
    • one year ago
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    yeah well thanks for the help

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