SOLUTION: I have a question. how do you know if its a or problem or just a x problem emaxple |x+7|>9 they say its a or problem but how do you know? thanks a million

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Question 758518: I have a question.
how do you know if its a or problem or just a x problem
emaxple
|x+7|>9 they say its a or problem but how do you know?
thanks a million

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I have a question.
how do you know if its a or problem or just a x problem
emaxple
|x+7|>9 they say its a or problem but how do you know?
thanks a million
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I think you mean how do you know if there's one solution, or more than one.
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If it's a 2nd order equation, there are 2 solutions.
If it's a 3rd order, there are three, etc.
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eg
ax%5E2+%2B+bx+%2B+c+=+0 has two solutions.
ax%5E3+%2B+bx%5E2+%2B+cs+%2B+d+=+0 has 3, etc.
In some cases, the some of the solutions are the same, called multiplicity.
eg
x^2 = 0 has 2 solutions, both are x = 0
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An equation or inequality that has an absolute value can have 2 solutions, also.
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For your example:
|x+7|>9
x+7 > 9
x > 2
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-(x+7) > 9
x+7 < -9 **** note change of polarity
x < -16