SOLUTION: Absolute value equations have how many solutions?

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Question 78693: Absolute value equations have how many solutions?
Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
This depends upon the problem. USUALLY there are TWO solutions. If an absolute value is being compared to a POSITIVE number, then there will be TWO solutions.

If an absolute value is compared to 0, then there will be only ONE solution.

If an absolute value is LESS THAN or EQUAL to a NEGATIVE number, then there will be NO SOLUTIONS!

If an absolute value is GREATER THAN or EQUAL to a NEGATIVE number, then there are infinitely many solutions, ALL REAL NUMBERS!!

R^2 at SCC

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