Dec.10 Counterexamples
1 like1,165 views
The document discusses counterexamples and how they can disprove conjectures. It provides examples of conjectures like every rectangle being a square or if a>b and b=5 then a≥6 that are disproven through counterexamples, such as a rectangle that is not a square or a situation where a>b but a<6. It emphasizes that only one counterexample is needed to show a general statement is false.
1 of 8
Download to read offline
More Related Content
More from RyanWatt (20)
Ad
Recently uploaded (20)
Ad
Dec.10 Counterexamples
- 2. Conjecture: The perimeter of a rectangle can never be an odd number
- 3. Counterexample : - an example that shows a general statement to be false. - it only takes one counterexample to prove a conjecture false
- 4. Conjecture: Every rectangle is a square. Counterexample:
- 5. Conjecture: If a>b and b=5, then a ≥ 6 Counterexample:
- 6. Students with low grade-point averages in high school are invariably failures in life.