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Sets are not determined by algebraic expressions: they are simply collections of elements. The only requirement is that given any element, it is possible to decide whether or not it belongs to the set.

The following, for example, is a set: {yellow, 7.9, April, moon, happy, squirrel}. It is a set of six things (words) I though of while writing this answer. No algebraic expressions will explain the meaning of that set.

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What is An equation that sets two fractions equal to each other is called a?

An equation that sets two fractions equal to each other is called a proportion. Proportions are used to express the equality of two ratios and can be solved to find an unknown value. They are commonly represented in the form a/b = c/d, where a, b, c, and d are numbers or algebraic expressions.


What is an algebraic structure?

An algebraic structure is a set with certain operations defined on the set.The set may consist of numbers but may be collections of matrices, or of permutations and, the operations will depend on the elements of the set.


Why are distributive property commutative property associate property and identity property called properties?

These are characteristics of the elements of algebraic structures, or algebraic sets. Each element in the set possesses these characteristics and that is why they are called properties.


How much is a brace in maths?

In mathematics, a brace refers to a pair of curly brackets, typically represented as { }. They are used to group elements or indicate sets, such as in set notation. For example, {1, 2, 3} denotes a set containing the numbers 1, 2, and 3. Additionally, braces can also appear in certain algebraic expressions and functions.


How do you translate words into variable expressions to work out replacements sets for algebra?

To translate words into variable expressions, identify key terms and their mathematical equivalents. For instance, "the sum of a number and five" translates to ( x + 5 ), where ( x ) represents the unknown number. Use specific phrases like "more than" for addition, "less than" for subtraction, and "times" for multiplication. Once expressed as variable expressions, you can substitute values from a replacement set to evaluate or solve the equations.

Related Questions

In geographical terms the word meaning west?

The word meaning west in geographical terms is "occidental" or "western." It refers to the direction opposite to the sunrise, where the sun sets.


Romeos specific expressions of foreboding as he sets off for the party?

uglyass


What is An equation that sets two fractions equal to each other is called a?

An equation that sets two fractions equal to each other is called a proportion. Proportions are used to express the equality of two ratios and can be solved to find an unknown value. They are commonly represented in the form a/b = c/d, where a, b, c, and d are numbers or algebraic expressions.


What has the author R Benedetti written?

R. Benedetti has written: 'Real algebraic and semi-algebraic sets' -- subject(s): Algebraic Geometry, Geometry, Algebraic, Ordered fields 'Branched standard spines of 3-manifolds' -- subject(s): Three-manifolds (Topology)


What is an algebraic structure?

An algebraic structure is a set with certain operations defined on the set.The set may consist of numbers but may be collections of matrices, or of permutations and, the operations will depend on the elements of the set.


Can you give me an example of an infinite set?

The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.


What is meaning of equivalent sets?

Equivalent sets are sets with exactly the same number of elements.


Why are distributive property commutative property associate property and identity property called properties?

These are characteristics of the elements of algebraic structures, or algebraic sets. Each element in the set possesses these characteristics and that is why they are called properties.


How much is a brace in maths?

In mathematics, a brace refers to a pair of curly brackets, typically represented as { }. They are used to group elements or indicate sets, such as in set notation. For example, {1, 2, 3} denotes a set containing the numbers 1, 2, and 3. Additionally, braces can also appear in certain algebraic expressions and functions.


How do you translate words into variable expressions to work out replacements sets for algebra?

To translate words into variable expressions, identify key terms and their mathematical equivalents. For instance, "the sum of a number and five" translates to ( x + 5 ), where ( x ) represents the unknown number. Use specific phrases like "more than" for addition, "less than" for subtraction, and "times" for multiplication. Once expressed as variable expressions, you can substitute values from a replacement set to evaluate or solve the equations.


What are mirror and strip sets?

if your talking about computer terms mirror and strip sets are types of harddrive formats


What is empty or null in mathematics?

The terms are usually used to describe sets that contain no elements or empty sets.