answer bata dey in question kay
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Q:1 A set A is a subset of another set B if all elements of the set A are elements of the set B. For example, if A is the set {♢,♡,♣,♠} and B is the set {♢,△,♡,♣,♠}, then A⊂B but B⊄A. ... Since B contains elements not in A, we can say that A is a proper subset of B.
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Q:5The intersection of two or more given sets is the set of elements that are common to each of the given sets. The intersection of sets is denoted by the symbol '∩'. In the case of independent events, we generally use the multiplication rule, P(A ∩ B) = P( A )P( B ).. . . . . . Q:6In mathematics, a function is a binary relation between two sets that associates each element of the first set to exactly one element of the second set. Typical examples are functions from integers to integers, or from the real numbers to real numbers . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . Q:7An easy way to determine whether a function is a one-to-one function is to use the horizontal line test on the graph of the function. To do this, draw horizontal lines through the graph. If any horizontal line intersects the graph more than once, then the graph does not represent a one-to-one function. . . . . . . . . . . . . . . . . . . . . . . . . Q:8
In mathematics, a surjective function (also known as surjection, or onto function) is a function f that maps an element x to every element y; that is, for every y, there is an x such that f(x) = y. In other words, every element of the function's codomain is the image of at least one element of its domain.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Q:9In mathematics, a bijection, bijective function, one-to-one correspondence, or invertible function, is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.. . . . . . . . . . . Q:10De Morgan's Law states that the complement of the union of two sets is the intersection of their complements and the complement of the intersection of two sets is the union of their complements. These are mentioned after the great mathematician De Morgan. This law can be expressed as ( A ∪ B) ' = A ' ∩ B' .