number of elements, while an infinite set has no bounds and continues indefinitely. To determine whether a set is finite or infinite, one must analyze the pattern of its elements. If the elements can be counted
Set theory || Types OF sets || Subsets || No OF elements in a Set || Venn Diagram || Union || Intersection || Difference OF two sets View Solution State whether the following sets are finite or infinite : View Solution Explain Equivalent sets and equal sets with examples View Solution ...
Answer 2:(i)The set of months of a year is a finite set because it has 12 elements.(ii){1,2,3...}is an infinite set as it has infinite number of natural numbers.(iii){1,2,3...99,100}is a finite set because the numbers from 1 to 100 arefinite in number.(iv)The set of...
State which of the follwing sets are finite sets or infinite. In case of finite set, mention the order cardinal. (i) A=(x:x is a prime number) (ii) B=(x:x∈R,x2−8x−20=0) (iii) C={x:x∈N,5x+2=11} View Solution State which of the following sets are finite and ...
We shall even see that for any set V, finite or infinite, there is a larger set P(V), called the powerset of V. Amazingly, although all sets we experience in the world are finite, we are still able to imagine infinite sets like N and to see amazing properties of them. This ...
Set AA is called countable if one of the following is true if it is a finite set, ∣A∣<∞∣A∣<∞; or it can be put in one-to-one correspondence with natural numbers NN, in which case the set is said to be countably infinite. A set is called uncountable if it is not coun...
infinite 同义词 adj. limited,determinate,restricted,fixed,predetermined 英汉双解 adj. 1. 有限的;有限制的having a definite limit or fixed size a finite number of possibilities 为数有限的可能 The world's resources are finite. 世界的资源是有限的。
From Longman Dictionary of Contemporary EnglishRelated topics:Grammarfi‧nite/ˈfaɪnaɪt/●○○AWLadjective1having an end or alimitOPPinfinitethe Earth’sfinite resources2technicalafiniteverbform shows a particular time. ‘Am’, ‘was’, and ‘are’ are examples of finite verb forms, but...
finiteness finitely 详细释义英英释义词根记忆n.1.有限物 0 But a restricted infinity is itself only a finite.但被限制的无限仍不过只是一有限之物而已。 收藏 Yet for practical reasons we do need some way of picking a finite set from the infinite set of possible ones.然而对于实际的理由...
The correct Answer is:(ii),(iii),(v),(vi) are finite sets ; (i),(iv),(vii),(viii) are infinite sets To determine whether the given sets are finite or infinite, we will analyze each set one by one. 1. Set of all natural numbers: - The set of natural numbers is defined as ...