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Solution Sets and Interval Notation

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Please see the attached file for the fully formatted problems.

4. Solve |4x - 7| > 11 and write set notation for the solution set.

A.
B.
C.
D.

5. For f(x) = x4 - x3 - 5, use the Intermediate Value Theorem to determine which interval contains a zero of f.
A. Between 1 and 2
B. Between 2 and 3
C. Between 3 and 4
D. Between 4 and 5

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Solution Summary

Solution sets and interval notation are investigated. The solution is detailed and well presented.

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Please see the attached file for the complete solution.

4. Solve |4x - 7| > 11 and write set notation for the solution set.

A.
B.
C.
D.
We know that |x|>a ==> either x< -a or x>a
Hence |4x - 7| > 11==> 4x-7< -11 or 4x-7 >11 i.e., 4x< -4 or 4x>18. ...

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