Seatwork 1) Suppose a, b. c. EZ. If a does not divide bc, then a does not divide b. 3 2) Suppose XER. If x²³-x>0, then X > - I
Seatwork 1) Suppose a, b. c. EZ. If a does not divide bc, then a does not divide b. 3 2) Suppose XER. If x²³-x>0, then X > - I
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 59RE
Related questions
Question
Subject: Discrete Mathematics
![Seatwork
1) Suppose a, b.c. EZ. If a does not
divide bc, then a does not divide b.
3
2) Suppose XER. If x²³²_-x>0, then
X > -1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd579ea5-f9fc-44b2-89a3-8b6914c1c58d%2F19aa97fb-a423-44c9-a010-858ad9f52d9d%2F56z1ot_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Seatwork
1) Suppose a, b.c. EZ. If a does not
divide bc, then a does not divide b.
3
2) Suppose XER. If x²³²_-x>0, then
X > -1.
![Example:
=> Suppose nez. If n² is even, then n is even.
Proof (Contrapositive). Suppose n is not even,
Then n is odd, so n=2a+ 1 for some integer a by
definition of an odd number.
2
Thus n² =12a+ı)²
PAGE
DATE
49² +4a+1 = 2 /29² +2a) + 1
Consequently, n² = (26 + 1)² =²492² 2² teatty
where b is integer 20₁² + 20
So, n² is odd
Therefore n² is not even.
+gate](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd579ea5-f9fc-44b2-89a3-8b6914c1c58d%2F19aa97fb-a423-44c9-a010-858ad9f52d9d%2Fxy36568_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Example:
=> Suppose nez. If n² is even, then n is even.
Proof (Contrapositive). Suppose n is not even,
Then n is odd, so n=2a+ 1 for some integer a by
definition of an odd number.
2
Thus n² =12a+ı)²
PAGE
DATE
49² +4a+1 = 2 /29² +2a) + 1
Consequently, n² = (26 + 1)² =²492² 2² teatty
where b is integer 20₁² + 20
So, n² is odd
Therefore n² is not even.
+gate
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