deboragranja
What is the solution set for |–2x + 16| – 9 = –3
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Compassionate
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Hello, you first want to solve the equation for x. Can you do that for me, hun?
deboragranja
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x=11
Compassionate
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There you go ;)
deboragranja
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thats the answer to the entire thing?
genius12
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nope there is 2 answers.
deboragranja
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11 and -11 right?
genius12
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nope.
Compassionate
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No. It's actually 11 and 5. Do you know why?
deboragranja
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okay help me idk why
genius12
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\[\bf |-2x+16|=6 \implies -2x+16=6 \ or \ -2x+16=-6\]
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.
deboragranja
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ohhhhh okay thank you i get it.