Question

Write an informal negation for each of the following statements. Be careful to avoid negations that are ambiguous.Some suspicions were substantiated. 1. All suspicions were substantiated. 2. All suspicions were unsubstantiated. 3. Some suspicions were unsubstantiated. 4. There is at least one suspicion that was unsubstantiated. 5. There is at least one suspicion that was substantiated. slader

Answer 1

Answer:

See below

Step-by-step explanation:

To write informal negations, change the existential quantifiers "some, there exists" for universal quantifiers "All, for every" and viceversa. Then write the informal negation of the statement after the quantifiers:

1) Some suspicions were unsubstantiated.

2) Some suspicions were substantiated.

3) All suspicions were substantiated.

4) No suspicions were unsubstantiated. Equivalently, Every suspicion was substantiated.

5) No suspicions were substantiated. Equivalently, Every suspicion was unsubstantiated.