All real values of $$\(x \neq 0\)$$ that satisfy $$\(|x|^{x^{2}-2 x-3}< 1\)$$ are $$\(p< x< q\)$$. If $$\(P\)$$ is the largest value of $$\(p\)$$ and $$\(Q\)$$ is the smallest value of $$\(q\)$$, what is the ordered pair $$\((P, Q)\)$$ ?

A.
\((-1,3)\)
B.
\((1,3)\)
C.
\((0,3)\)
D.
\((-1,1)\)
Mathematics
Competition
Math League
Exam No:2019 First Round Grades 10-12 Year:2019 Question No:22

Answer:

B

Knowledge points:

G10-12 - Algebra - Absolute Value (Equations, Inequalities & Graphs)

Solution:

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