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EmmaH

is the equivelent compound sentence of |x - 5| < 4 this x - 5 > 4 or x - 5 < -4?

  • one year ago
  • one year ago

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  1. EmmaH
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    my choices are A. x - 5 > 4 or x - 5 < -4 B. -4 < x - 5 < 4 C. -8 < 2x + 3 < 8 D. x - 5 = 4 or x - 5 = -4 E. 2x + 3 > 8 or 2x + 3 < -8

    • one year ago
  2. tcarroll010
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    It's A because |x - 5| < 4 means x - 5 < 4 AND x - 5 > -4, so the expression with the x will be "in the middle" for 2 inequalities.

    • one year ago
  3. EmmaH
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    ok so im right?

    • one year ago
  4. EmmaH
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    so for this one it would be c? |x - 5| > 4

    • one year ago
  5. tcarroll010
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    Sorry, I read the numbers wrong, The answer is "B". Just change my answer to B" and keep my reasoning.

    • one year ago
  6. EmmaH
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    wait so|x - 5| > 4 be a? im confuzzled

    • one year ago
  7. tcarroll010
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    It's an "AND" situation. The way to think about absolute value expressions being less than some (positive) number is that the positive number gives the maximum distance form "0" in either direction (negative or positive). No confusion. I corrected my answer to "B" "B" "B" NOT A

    • one year ago
  8. EmmaH
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    i dont hink they can both be b im talking about another equation |x - 5| > 4 would that be A?

    • one year ago
  9. tcarroll010
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    |x - 5| > 4 is A That is an "OR" situation.

    • one year ago
  10. EmmaH
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    |2x + 3| < 8 and that is C then right?

    • one year ago
  11. tcarroll010
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    Yes, I think you're getting this!

    • one year ago
  12. EmmaH
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    yay thank you!

    • one year ago
  13. tcarroll010
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    uw!

    • one year ago
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