SOLUTION: Y is less than or equal to the absolute value of 4-X.
I know what to do when X is not negative like if it was Y is less than or equal to the absolute value of X-4. Can you help?
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Question 912598: Y is less than or equal to the absolute value of 4-X.
I know what to do when X is not negative like if it was Y is less than or equal to the absolute value of X-4. Can you help? Thank you.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Two cases. If and if .
CASE nonnegative argument
CASE negative argument
The solution is the region in the plane which ---deleted wording--- two cases.
SUMMARY OF THE INEQUALITES
Critical point seems to be for x=4.
The graphs show only the two individual cases; the ACTUAL solution is the region that ---deleted wording---.
Nonnegative argument case:
Negative argument case:
What the solution region should look like:
(About the deleted wording; either of the two individual inequalities will satisfy the absolute value inequality given. This is a union).
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