Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Read the statement.Rooney notices that the numbers 5,7,11,13,17,19 are all odd numbers and prime numbers. She makes the conjecture that all odd numbers are prime numbers.Which of the following are counterexamples to the statement? Select all that apply.

Read The StatementRooney Notices That The Numbers 5711131719 Are All Odd Numbers And Prime Numbers She Makes The Conjecture That All Odd Numbers Are Prime Numbe class=

Sagot :

Hello!

She makes the conjecture that all odd numbers are prime numbers.

It is false, we have infinite counterexamples, let's analyze the alternatives and mark some:

• The number 21 is an odd number and not prime.

True, because 21 can be divided by: 1, 3, 7, 21.

• The number 9 is an odd number and not prime.

True, it can be divided by 1, 3, 9.

• The number 15 is an odd number and not prime.

True, it can be divided by: 1, 3, 5, 15.

• The number 23 is an odd number and is prime.

True, it's prime. BUT it isn't a counterexample, just an example as mentioned in the exercise.

Answer:

You'll select the alternatives: 1, 2 and 3.

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.