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nydimaria [60]
2 years ago
9

Determine if the conjecture is true or false. If true, explain your reasoning briefly. If false provide a counterexample.

Mathematics
1 answer:
Arisa [49]2 years ago
7 0

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. 1/0 is undefined
  2. 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/(1/5) > 1/5
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