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)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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
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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