If A 1,2,3,4,5 6 7 and B 1 3, 5, 7,9,11,13 then a ∆ B A 2 4 6 B 9,11,13 C 1 3,5, 7 D
How to find the difference of two sets? If A and B are two sets, then their difference is given by A - B or B - A. • If A = {2, 3, 4} and B = {4, 5, 6} A - B means elements of A which are not the elements of B. i.e., in the above example A - B = {2, 3} In general, B - A = {x : x ∈ B, and x ∉ A} • If A and B are disjoint sets, then A – B = A and B – A = BSolved examples to find the difference of two sets: 1. A = {1, 2, 3} and B = {4, 5, 6}. Find the difference between the two sets: (i) A and B (ii) B and A Solution: The two sets are disjoint as they do not have any elements in common. (i) A - B = {1, 2, 3} = A (ii) B - A = {4, 5, 6} = B
Find the difference between the two sets: (i) A and B (ii) B and A Solution:(i) A - B = {a, c, e} Therefore, the elements a, c, e belong to A but not to B (ii) B - A = {g) Therefore, the element g belongs to B but not A. 3. Given three sets P, Q and R such that: P = {x : x is a natural number between 10 and 16}, Q = {y : y is a even number between 8 and 20} and R = {7, 9, 11, 14, 18, 20} (i) Find the difference of two sets P and Q (ii) Find Q - R (iii) Find R - P (iv) Find Q – P Solution: According to the given statements: P = {11, 12, 13, 14, 15} Q = {10, 12, 14, 16, 18} R = {7, 9, 11, 14, 18, 20} (i) P – Q = {Those elements of set P which are not in set Q} = {11, 13, 15} (ii) Q – R = {Those elements of set Q not belonging to set R} = {10, 12, 16} (iii) R – P = {Those elements of set R which are not in set P} = {7, 9, 18, 20} (iv) Q – P = {Those elements of set Q not belonging to set P} = {10, 16, 18} ● Set Theory ● Sets ● Objects Form a Set ● Elements of a Set ●Properties of Sets ● Representation of a Set ●Different Notations in Sets ● Standard Sets of Numbers ●Types of Sets ● Pairs of Sets ●Subset ● Subsets of a Given Set ●Operations on Sets ● Union of Sets ●Intersection of Sets ● Difference of two Sets ●Complement of a Set ● Cardinal number of a set ●Cardinal Properties of Sets ● Venn Diagrams 7th Grade Math Problems Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need. |