\n| Subset<\/a><\/td>\n | Union of Sets<\/a><\/td>\n | <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nHow to find the Difference of Two Sets?<\/h3>\nFollow these simple steps to calculate the difference between the two sets.<\/p>\n \n- Let us take two sets having well-defined objects of the same type.<\/li>\n
- The two sets names can be P and Q.<\/li>\n
- In P – Q, you must include the elements of P but not elements of Q.<\/li>\n
- Q – P means include elements of Q but not elements of P.<\/li>\n<\/ul>\n
Difference of Two Sets Example Questions and Answers<\/h3>\nExample 1:<\/strong><\/p>\nIf A = {25, 5, 50, 23}, B = {1, 5, 10, 20, 25, 50}, then find A – B and B – A.<\/p>\n Solution:<\/strong><\/p>\nThe given two sets are A = {25, 5, 50, 23}, B = {1, 5, 10, 20, 25, 50}<\/p>\n A – B = {25, 5, 50, 23} – {1, 5, 10, 20, 25, 50}<\/p>\n = {23}<\/p>\n B – A = {1, 5, 10, 20, 25, 50} – {25, 5, 50, 23}<\/p>\n = {1, 10, 20}<\/p>\n Therefore, A – B = {23} and B – A = {1, 10, 20}.<\/p>\n Example 2:<\/strong><\/p>\nIf P = {m, n, o, p, q, x, y, z}, Q = {o, p, q, y}<\/p>\n find P – Q and Q – P.<\/p>\n Solution:<\/strong><\/p>\nThe given two sets are P = {m, n, o, p, q, x, y, z}, Q = {w, r, s, t, o, p, q, y}<\/p>\n P – Q means elements of P but not the elements of Q.<\/p>\n P – Q = {m, n, o, p, q, x, y, z} – {w, r, s, t, o, p, q, y}<\/p>\n = {m, n, x, z}<\/p>\n Q – P means the elements of Q but not the elements of P.<\/p>\n Q – P = {w, r, s, t, o, p, q, y} – {m, n, o, p, q, x, y, z}<\/p>\n = {w, r, s, t}<\/p>\n Therefore, P – Q = {m, n, x, z}, Q – P = {w, r, s, t}.<\/p>\n Example 3:<\/strong><\/p>\nIf A = {x : x is a natural number between 10 and 20}, B = {x : x is a even number between 10 and 25} and C = {3, 6, 7, 14, 4, 8}<\/p>\n find B – C, A – B, C – A, A – C, and C – B<\/p>\n Solution:<\/strong><\/p>\nThe given three sets are A = {x : x is a natural number between 10 and 20}, B = {x : x is a even number between 10 and 25} and C = {3, 6, 7, 14, 4, 8}<\/p>\n The roster form of A = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}<\/p>\n The roster form of B = {10, 12, 14, 16, 18, 20, 22, 24}<\/p>\n B – C = {10, 12, 14, 16, 18, 20, 22, 24} – {3, 6, 7, 14, 4, 8}<\/p>\n = {10, 12, 16, 18, 20, 22, 24}<\/p>\n A – B = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} – {10, 12, 14, 16, 18, 20, 22, 24}<\/p>\n = {11, 13, 15, 17, 19}<\/p>\n C – A = {3, 6, 7, 14, 4, 8} – {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}<\/p>\n = {3, 6, 7, 4 8}<\/p>\n A – C = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} – {3, 6, 7, 14, 4, 8}<\/p>\n = {10, 11, 12, 13, 15, 16, 17, 18, 19, 20}<\/p>\n C – B = {3, 6, 7, 14, 4, 8} – {10, 12, 14, 16, 18, 20, 22, 24}<\/p>\n = {3, 6, 7, 4, 8}<\/p>\n Example 4:<\/strong><\/p>\nIf X = {21, 23, 25}, Y = {32, 34, 36} find X – Y and Y – X<\/p>\n Solution:<\/strong><\/p>\nThe given two sets are X = {21, 23, 25}, Y = {32, 34, 36}<\/p>\n X – Y = {21, 23, 25} – {32, 34, 36}<\/p>\n = {21, 23, 25}<\/p>\n Y – X = {32, 34, 36} – {21, 23, 25}<\/p>\n = {32, 34, 36}<\/p>\n Therefore, X – Y = X and Y – X = Y.<\/p>\n FAQs on Difference of Two Sets<\/h3>\n1. What is the difference of set?<\/strong><\/p>\nThe difference between the two sets is denoted as the first set – the second set. While you are evaluating the difference, just include the non common elements of the first set in the result set.<\/p>\n 2. How do you subtract two sets?<\/strong><\/p>\nThe subtraction (difference) of two non-empty sets A and B is A – B. A – B = {x : x \u2208 A and x \u2209 B}. The difference between the two sets means includes the elements of A but not elements of B.<\/p>\n 3. How do you solve the complement of sets?<\/strong><\/p>\nThe complement of a set means subtract U and that set. Complement of set B = U – B. Here U is the universal set. The complement of B means the elements of U but not the elements of B.<\/p>\n 4. Why A – B is not equal to B – A?<\/strong><\/p>\nA – B means the elements of A by eliminating the common elements between A and B. B – A means the elements of B by removing the common elements between A and B. So, A – B is not equal to B – A.<\/p>\n","protected":false},"excerpt":{"rendered":" Sets are the collection of well-defined elements. When you try to combine two sets under some conditions to form a new set, it is called a difference of two sets. Moreover, the set difference is one of the operations on sets. 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