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anonymous

  • one year ago

PLEASE HELP ONE QUESTION WILL MEDAL AND FAN!

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  1. anonymous
    • one year ago
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    Solve and graph the absolute value inequality: |2x + 1| ≤ 5. number line with closed dots on negative 3 and 2 with shading going in the opposite directions. number line with closed dots on negative 3 and 2 with shading in between. number line with open dots on negative 3 and 2 with shading in between. number line with closed dots on negative 2 and 2 with shading in between.

  2. Hero
    • one year ago
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    Hint: |ax + b| ≤ c is equivalent to -c ≤ ax + b ≤ c

  3. anonymous
    • one year ago
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    What????? So confused. Could you explain better?

  4. Hero
    • one year ago
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    In order to properly graph the absolute value inequality, you must first solve for x. The hint I gave you shows a mathematical statement equivalent to the given statement that allows you to solve for x, which in turn, will enable you to properly graph the inequality.

  5. anonymous
    • one year ago
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    ok, so |2x + 1| ≤ 5. First, would i subtract one from each side?

  6. pooja195
    • one year ago
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    Set up two equations We know 2x+1≤5 and 2x+1≥−5 Solve for each \[\huge~2x+1≤5 \] \[\huge~2x+1≥−5\]

  7. anonymous
    • one year ago
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    OK

  8. anonymous
    • one year ago
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    2x+1<5 -1 -1 2x <4 /2 /2 x<2? for the first one?

  9. anonymous
    • one year ago
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    2x+1>5 -1 -1 2x > 4 /2 /2 x>2 for the second one as well?

  10. pooja195
    • one year ago
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    No.

  11. Hero
    • one year ago
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    It's much easier to solve it as just one compound inequality: -5 ≤ 2x + 1 ≤ 5 Subtract one from each side, then divide each side by two.

  12. anonymous
    • one year ago
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    -6<2x<4?

  13. anonymous
    • one year ago
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    with the line underneath the signs

  14. Hero
    • one year ago
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    -6 ≤ 2x ≤ 4 Then divide each side by 2.

  15. anonymous
    • one year ago
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    -3 <x<2

  16. anonymous
    • one year ago
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    with lines underneath

  17. Hero
    • one year ago
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    -3 ≤ x ≤ 2

  18. Hero
    • one year ago
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    The inequality basically states that the solution, x, exists between -3 and 2 (inclusive)

  19. anonymous
    • one year ago
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    so B?

  20. Hero
    • one year ago
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    Correct.

  21. anonymous
    • one year ago
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    thank you so much!

  22. Hero
    • one year ago
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    You're welcome.

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