Question

Commutative property
P=x:x is a real number between 2and7
Q=x:x is an irrational number between 2and7

Answer 1

Solution:

Let, P=x:x is a real number between 2 and 7 = 4

Q=x:x is an irrational number between 2 and 7= √6

The commutative property with respect to addition

P + Q= Q + P

So, If P=x:x is a real number between 2 and 7 , suppose 4, and Q=x:x is an irrational number between 2 and 7 suppose √6, then

→4 + √6=√6 + 4

The commutative property with respect to Multiplication

P × Q= Q × P

So, If P=x:x is a real number between 2 and 7 , suppose 4, and Q=x:x is an irrational number between 2 and 7 suppose √6, then

→4 × √6=√6 × 4

Hence if you take these kind of numbers than also P=x:x is a real number between 2 and 7 , Q=x:x is an irrational number between 2 and 7  then also these numbers will satisfy commutative property with respect to addition and multiplication.