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.
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
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 49PS
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a2e74ff-a467-4417-8839-772b0120f8db%2F314e4c30-4d02-4c25-8033-808c9a77ed3c%2Fescj6m8_processed.png&w=3840&q=75)
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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