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Find a counterexample to show that each conjecture is false

1. All vehicles on the highway have exactly four wheels

2. All states in the United states share a border with another state

3. All plurals end with the letter s

4. The difference between two integers is always positive

5. All pentagons have exactly five congruent side

6. All numbers that are divisible by 3 are also divisible by 6

7. All whole numbers are greater than their opposites

8. All prime numbers are odd integers


Sagot :

Answer:

  • Examples given below

Step-by-step explanation:

1. All vehicles on the highway have exactly four wheels

  • Motorcycle

2. All states in the United states share a border with another state

  • Hawaii

3. All plurals end with the letter s

  • Children

4. The difference between two integers is always positive

  • 3- 13 = -10 is negative

5. All pentagons have exactly five congruent side

  • Irregular pentagon

6. All numbers that are divisible by 3 are also divisible by 6

  • 9 is divisible by 3 but not divisible by 6

7. All whole numbers are greater than their opposites

  • -5 < 5

8. All prime numbers are odd integers

  • 2 is prime but even