Q:

The set of integers is closed under the operation of addition. A: Which equation illustrates this concept?B: Which statement correctly explains this concept?Select one answer for question A and one answer for question B.A: 2+27=29A: 34÷4=172A: 1−3=−2A: 2⋅6=12B: The sum of the integers 2 and 27 is the integer 29, which demonstrates that integers are closed under addition.B: The quotient of the integers 34 and 4 is the integer 172, which demonstrates that integers are closed under addition.B: The difference of the integers 1 and 3 is not an integer, −2, which does not demonstrate that integers are closed under addition.B: The product of the integers 2 and 6 is not an integer, 12, which does not demonstrate that integers are closed under addition.

Accepted Solution

A:
Answer:A: 2+27=29B: The sum of the integers 2 and 27 is the integer 29, which demonstrates that integers are closed under addition.Step-by-step explanation:Since, closed property of addition for a set A is defined as,∀ x, y ∈ A ⇒ x + y ∈ A,∵ Set of integer is closed under multiplication,If Z represents the set of integer,Then 2, 27 ∈ Z  ⇒ 2 + 27 = 29 ∈ Z,Hence, the equation illustrates given statement,2+27 = 29The statement that correctly explains given statement,The sum of the integers 2 and 27 is the integer 29, which demonstrates that integers are closed under addition.c