Q&A 

What is the meaning of equal set in math?

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What is the meaning of equal set in math?

Equal sets have the exact same elements in them, even though they could be out of order. Equivalent sets have different elements but have the same amount of elements. A set’s cardinality is the number of elements in the set. Therefore, if two sets have the same cardinality, they are equivalent!

What is the equal set sign?

Symbol Meaning Example
A = B Equality: both sets have the same members {3, 4, 5} = {5, 3, 4}
A×B Cartesian Product (set of ordered pairs from A and B) {1, 2} × {3, 4} = {(1, 3), (1, 4), (2, 3), (2, 4)}
|A| Cardinality: the number of elements of set A |{3, 4}| = 2
| Such that { n | n > 0 } = {1, 2, 3,…}

Which pair of sets is equal?

Equal Set: Two sets A and B are said to be equal if all the elements of set A are in set B and vice versa. The symbol to denote an equal set is =. A = B means set A is equal to set B and set B is equal to set A.

Is equivalent the same as equal?

Equals Versus Equivalency Equal is defined as, “being the same in quantity, size, degree, or value.” Whereas equivalent is defined as, “equal in value, amount, function, or meaning.” In the above problem 5 x 3 is equal to 5 + 5 + 5, but they’re not necessarily equivalent.

What is equivalent set example?

If A = {1,−7,200011000,55} and B = {1,2,3,4}, then A is equivalent to B. If Set G: {Sweater, Mittens, Scarf, Jacket} and Set H: {Apples, Bananas, Peaches, Grapes}, it can be noted that both Set G and Set H comprise word elements in different categories and have the same number of elements i.e. four.

What is the difference between equivalent and equal?

Is Pair same as set?

An ordered pair consists of two elements that are written in the fixed order. So, we define an ordered pair as: The pair of elements that occur in particular order and are enclosed in brackets are called a set of ordered pairs.

What are the examples of equivalent sets?

Equal Set Example. If P = { 1,3,9,5,−7 } and Q = { 5,−7,3,1,9,},then P = Q.

  • Equivalent Set Example. If P = { 1,−7,200011000,55 } and Q = { 1,2,3,4 },then P is equivalent to Q.
  • Important points: All the null sets are equivalent to each other. If A and B are two sets such that A = B,then A is equivalent to B.

    • What are equivalent sets definition and example?

    Two sets are said to be equivalent sets if they have same number of elements. For Example, Here, A and B are equivalent sets because both sets have 4 elements. Two sets are said to be equal sets if they both have exactly same elements.

    What does it mean for two sets to be “equal”?

    Two sets are said to be equivalent if they have the same number of elements in each set. Two equivalent sets are represented symbolically as A~B. Equal sets are always equivalent, but two equivalent sets are not always equal.

    What is the meaning of equivalent set?

    equivalent sets. Sets which have the same cardinal number; sets whose elements can be put into one-to-one correspondence with each other.