Choose 2 axioms that allows 22 + (m + 8) to be written as m + 30
commutative - addition
distributive
associative - multiplication
symmetric
commutative - multiplication
associative - addition
identity - addition

Solution:

We have to choose 2 axioms which allows 22 + (m + 8) to be written as m + 30

The commutative property of addition says that changing the order of the addends does not change the value of the sum.

22 + (m + 8) can be written as (m + 8) + 22 using the Commutative - addition

Then by using the associative addition

The associative property of addition is the property of numbers that states the sum of three or more numbers will not change however the numbers are grouped while adding.

(m + 8) + 22 = m + (8 + 22)

So we get

= m + 30

Therefore, the 2 axioms which are used are the commutative-addition and associative-addition.

Choose 2 axioms that allows 22 + (m + 8) to be written as m + 30
commutative - addition
distributive
associative - multiplication
symmetric
commutative - multiplication
associative - addition
identity - addition

Summary:

The 2 axioms that allow 22+(m+8) to be written as m+30 are the commutative-addition and associative-addition.