Question

Which of the following gives an example of a set that is closed under addition?

The sum of an even number and an even number

The sum of an odd number and an odd number

The sum of a prime number and a prime number

None of these are an example of the closure property

Answer 1

The sum of an even number and an even number

TRUE. BECAUSE THE SUM OF AN EVEN NUMBER AND AN EVEN NUMBER IS ALWAYS AN EVEN NUMBER

The sum of an odd number and an odd number

FALSE BECAUSE THE SUM OF AN ODD NUMBER AND AN ODD NUMBER IS NOT AN ODDD NUMBER

The sum of a prime number and a prime number

FALSE: COUNTER EXAMPLE: 3 + 5 = 8. 3 IS PRIME AND 5 IS PRIME BUT 8 IS NOT PRIME

None of these are an example of the closure property: FALSE, THE FIRST IS AN EXAMPLE OF CLOSURE PROPERTY.