1.

Let X = {2, 4, 5, 6} Y = {3, 4, 7, 8} Z = {5, 6, 7, 8}a) (X - Y) ∩ (Y - X)​

Answer»

Given

  • X = {2, 4, 5, 6}
  • Y = {3, 4, 7, 8}
  • Z = {5, 6, 7, 8}

To FIND

  • (X - Y) ∩ (Y - X)

Solution

☯ This → ∩ symbol represents the INTERSECTION between the two sets

━━━━━━━━━━━━━━━━━━━━━━━━━

✭ According to the Question :

➞ (X - Y) ∩ (Y - X)

  • X = {2, 4, 5, 6}
  • Y = {3, 4, 7, 8}
  • Z = {5, 6, 7, 8}

➞ {2,5,6} ∩ {3,7,8}

  • But here we MAY observe that there is no common terms on both the SIDES and hence there would be no intersection between the two sets

∴ (X - Y) ∩ (Y - X) = ∅


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