anonymous
  • anonymous
What is the solution set for |–2x + 16| – 9 = –3
Mathematics
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anonymous
  • anonymous
What is the solution set for |–2x + 16| – 9 = –3
Mathematics
jamiebookeater
  • jamiebookeater
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Compassionate
  • Compassionate
Hello, you first want to solve the equation for x. Can you do that for me, hun?
anonymous
  • anonymous
x=11
Compassionate
  • Compassionate
There you go ;)

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anonymous
  • anonymous
thats the answer to the entire thing?
anonymous
  • anonymous
nope there is 2 answers.
anonymous
  • anonymous
11 and -11 right?
anonymous
  • anonymous
nope.
Compassionate
  • Compassionate
No. It's actually 11 and 5. Do you know why?
anonymous
  • anonymous
okay help me idk why
anonymous
  • anonymous
\[\bf |-2x+16|=6 \implies -2x+16=6 \ or \ -2x+16=-6\]
anonymous
  • anonymous
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.
anonymous
  • anonymous
ohhhhh okay thank you i get it.

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