Determine if the conjecture is true or false. If true, explain your reasoning briefly. If false provide a counterexample.
1 answer:
9514 1404 393
Answer:
false
Step-by-step explanation:
The conjecture shown in this problem statement does not follow from the examples offered. They support the notion that ...
1/x ≤ x . . . . for x ≥ 0 (<u>not x ≤ 0</u>)
There are several possible counterexamples showing the conjecture is FALSE.
- 1/0 is undefined
- 1/(-5) > -5 . . . . . . . . a case for x < 0
If the intended domain is x ≥ 0, then the conjecture can also be demonstrated to be false for 0 < x < 1:
- 1/(1/5) > 1/5
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Answer:
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Step-by-step explanation:
The next number is 27.
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