Question

Test for the commutative property of union and intersection of the sets P = { x : x is a real number between 2 and 7} and Q = { x : x is an irrational number between 2 and 7}.​

Answer 1

Step-by-step explanation:

Test for the commutative property of union and intersection of the sets P = { x : x is a real number between 2 and 7} and Q = { x : x is an irrational number between 2 and 7}. Answer: The set Q is proper subset of set P as set of real numbers contain irrational numbers also

Answer 2

Answer:

P =(x:x is real numbers between 2 and 7 )

Q=( x: x is a irrational numbers between 2 and 7)

Cleary p contains all the real numbers between 2 and 7

Then PUQ and QUP are have all the real numbers between 2 and 7 .

Hence they are equal.

Therefore Q is a proper set of P

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