Question

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Answer 1

Answer :-

• P - Q = { 0, 1, 2, 3 }
• Q - P = { 6, 7, 8, 9 }
• P ∩ Q = { 4, 5 }

Step-by-step explanation :

Given set A = { x : x ∈ W and x < 6 }

Set A contains all the elements which belongs to set of whole numbers smaller than 6. W is the set of whole numbers.

The given set A in the roaster form can be written as,

• A = { 0, 1, 2, 3, 4,.5 }

Given set B = { x : x ∈ N and 4 ≤ x ≤ 9 }

Set B contains all the elements which belongs to set of natural numbers ranging between 4 and 9 where both 4 and 9 are included. N is the set of natural numbers.

The given set B in the roaster form can be written as,

• B = { 4, 5, 6, 7, 8, 9 }

(i) P - Q is the set of all y such that y belongs to P but doesn't belongs to Q.

Hence P - Q = { 0, 1, 2, 3 }

(ii) Q - P is the set of all those elements which belongs to set B but doesn't belongs to set P.

Hence Q - P = { 6, 7, 8, 9 }

(iii) P ∩ Q is the set of all those elements which belongs to set P as well as set Q. Basically all those elements which are in common to set P and Q are included in P ∩ Q .

Hence P ∩ Q = { 4, 5 }