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deboragranja

What is the solution set for |–2x + 16| – 9 = –3

  • 9 months ago
  • 9 months ago

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  1. Compassionate
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    Hello, you first want to solve the equation for x. Can you do that for me, hun?

    • 9 months ago
  2. deboragranja
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    x=11

    • 9 months ago
  3. Compassionate
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    There you go ;)

    • 9 months ago
  4. deboragranja
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    thats the answer to the entire thing?

    • 9 months ago
  5. genius12
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    nope there is 2 answers.

    • 9 months ago
  6. deboragranja
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    11 and -11 right?

    • 9 months ago
  7. genius12
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    nope.

    • 9 months ago
  8. Compassionate
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    No. It's actually 11 and 5. Do you know why?

    • 9 months ago
  9. deboragranja
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    okay help me idk why

    • 9 months ago
  10. genius12
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    \[\bf |-2x+16|=6 \implies -2x+16=6 \ or \ -2x+16=-6\]

    • 9 months ago
  11. genius12
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    You have to cases to solve for. Since it's an absolute value, the answer could be +6 or -6 but either way it would come out as 6. So we consider both cases and solve for x in each case. We get x = 5 and x = 11.

    • 9 months ago
  12. deboragranja
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    ohhhhh okay thank you i get it.

    • 9 months ago
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