Question

The set. A = {1,3,5,7) is closed with respect to:

a) addition
b) subtraction
c)multiplication
d) division​

Answer 1

your answer is your multiplication

Answer 2

Answer:

The correct answer is option(C) multiplication

Step-by-step explanation:

Given set is A = {1,3,5,7,......}

The elements of this set are set of odd numbers

Addition

The Sum of two odd numbers is always an even number

that is, 1∈A and 3∈ A, but 1+3  = 4∉A

Hence set A is not closed under addition.

Subtraction

The difference between two odd numbers is always an even number

that is 1∈A and 3∈ A, but 1-3 = -2∉A

Hence set A is not closed under subtraction.

Multiplication

The product of two odd numbers is always an odd number

that is 1∈A and 3∈ A, but 1×3 = 3∈A

Hence the set A is closed under multiplication

Division

The quotient of two odd numbers is not always an odd number

That is 1∈A and 3∈ A, but 1÷3 = $\frac{1}{3}$∉A

Hence set A is not closed under division.

Hence we can conclude that the set A is closed under multiplication

∴The correct answer is option(C)

#SPJ3