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EmmaH

  • 3 years ago

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

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  1. EmmaH
    • 3 years ago
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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

  2. tcarroll010
    • 3 years ago
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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.

  3. EmmaH
    • 3 years ago
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    ok so im right?

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

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

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

  7. tcarroll010
    • 3 years ago
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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

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

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

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

  11. tcarroll010
    • 3 years ago
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    Yes, I think you're getting this!

  12. EmmaH
    • 3 years ago
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    yay thank you!

  13. tcarroll010
    • 3 years ago
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    uw!

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