Use Definition 1.1.4 to prove that {x:|x| < 1} = (-1,1). Definition 1.1.4: If x is a real number, we define |x| to be x if x > 0, and -x if x < 0.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
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Please prove the statement. Thank you!

Use Definition 1.1.4 to prove that {x:|x| < 1} = (-1,1).
Definition 1.1.4: If x is a real number, we define |x| to be x if x > 0, and -x if x <
0.
Transcribed Image Text:Use Definition 1.1.4 to prove that {x:|x| < 1} = (-1,1). Definition 1.1.4: If x is a real number, we define |x| to be x if x > 0, and -x if x < 0.
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