There are infinitely many integers between any two integers

Property 1 (Closure property): The subtraction of any two integers is an integer i.e.for any two integers a and b a-b is an integer.

prove that there are infinitely many positive integers.

The product of integers between -7 and -3 is

The product of integers between - 7 and – 3 is

The average of four positive integers is 73.5. The highest integer is 108 and the lowest integer is 29. The difference between the remaining two integers is 15. Which of the following is the smaller of the re- maining two integers?

the average of four positive integers is 72.5. the highest integer is 117 and the lowest integer is 15. the difference between the remaining two integers is 12. which is the higher of these two remaining integers ?

The average of 4 positive integers is 59. The highest integer is 83 and the lowest integer is 29. The difference between the remaining two integers is 28. Which of the following integers is higher of the remaining two integers? (a) 39 (b) 48 (c) 76 (d) Cannot be determined (e) None of these

Property 2 (Commutativity of addition): The addition of integers is commutative i.e.for any two integers a and b we have a+b=b+a

Write a pair of integers whose product is –12 and there lies seven integers between them (excluding the given integers).