Find the number that provides a counterexample to show that the given statement is false. For all number ?, ? + ? > ? _________________ 3) For all numbers ?, ?3 ≥ ? _________________ 4) For all numbers ?, |? + 3| = |?| + 3 _________________ 5) For all numbers ?, −? < ?
Find the number that provides a counterexample to show that the given statement is false. For all number ?, ? + ? > ? _________________ 3) For all numbers ?, ?3 ≥ ? _________________ 4) For all numbers ?, |? + 3| = |?| + 3 _________________ 5) For all numbers ?, −? < ?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Find the number that provides a counterexample to show that the given statement is false.
For all number ?, ? + ? > ?
_________________ 3) For all numbers ?, ?3 ≥ ?
_________________ 4) For all numbers ?, |? + 3| = |?| + 3
_________________ 5) For all numbers ?, −? < ?
![9:35 i1
77
(Marcel Goyha) Lesson-3_Problem-Solving - Saved
ve 5) The product of a negative even number and positive odd number is
tive even number,
III. Find the number that provides a counterexample to show that the given statement is false.
-1 1) For all numbers x, x > 1
For all numbers, x>1Let x=-1Since -1<1=x<1 (Contradicting the given statement)Hence
x=-1 is a example where the given statement is false
2) For all number x, x + x > x
3) For all numbers x, x³ 2x
4) For all numbers x, |x + 3| = |x| +3
5) For all numbers x, -x<x
IV. Determine whether each of the following arguments is an example of inductive
reasoning or deductive reasoning.
Deductive reasoning 1) Dogs don't eat banana. Sam is a dog. Therefore, Sam does nd
B I U
A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87110a87-5775-49df-b403-9e150f3422d5%2Fc1838c3a-7fa5-4ccb-8dfe-aa534a8f8467%2Fsq2zefl_processed.png&w=3840&q=75)
Transcribed Image Text:9:35 i1
77
(Marcel Goyha) Lesson-3_Problem-Solving - Saved
ve 5) The product of a negative even number and positive odd number is
tive even number,
III. Find the number that provides a counterexample to show that the given statement is false.
-1 1) For all numbers x, x > 1
For all numbers, x>1Let x=-1Since -1<1=x<1 (Contradicting the given statement)Hence
x=-1 is a example where the given statement is false
2) For all number x, x + x > x
3) For all numbers x, x³ 2x
4) For all numbers x, |x + 3| = |x| +3
5) For all numbers x, -x<x
IV. Determine whether each of the following arguments is an example of inductive
reasoning or deductive reasoning.
Deductive reasoning 1) Dogs don't eat banana. Sam is a dog. Therefore, Sam does nd
B I U
A
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