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That is how an identity is defined. If the solution was not true for all numbers, then it would not be called an identity.
In fact, it should be true for all complex numbers as well.
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How can you tell when an equation has a solution of all real numbers?
Definition: An equation is a statement that asserts that two mathematical expression are equal in value. When this is true for all values of the variables involved then it is called an identity, for example 2(x - 5) = 2x - 10. If you work at one side (or in both sides separately), you will find the same expression in both side., such that: 2x - 10 = 2x - 10 this is an identity, so that the solution of the equation is the set of all real numbers.
What is known about the lines of the equations in a system of equation when the solution set is all real numbers?
No answer is possible. As soon as you have one valid line, all points that are not on that line cannot be part of the solution set. Therefore the solution set cannot be all real numbers.No answer is possible. As soon as you have one valid line, all points that are not on that line cannot be part of the solution set. Therefore the solution set cannot be all real numbers.No answer is possible. As soon as you have one valid line, all points that are not on that line cannot be part of the solution set. Therefore the solution set cannot be all real numbers.No answer is possible. As soon as you have one valid line, all points that are not on that line cannot be part of the solution set. Therefore the solution set cannot be all real numbers.
What is the identity property for multiplications?
The identity property is the property that all numbers, real or imaginary, can be multiplied by 1 to obtain the same number; e.g., 14x1 = 14.
Find the domain and range fx3x-2?
the domain is all real numbers and the range is all real numbers the domain is all real numbers and the range is all real numbers
What is the set of numbers that includes all rational and all irrational numbers?
the set of real numbers
What is the result if the equation has a solution that is all real numbers?
The result is all real numbers.
What is the Multiplicative Identity for rational numbers?
It is 1, as it is for all complex numbers - which includes real numbers.
Is the answer for 3x 1 3 4x 0 -1 all real numbers or no solution?
no solution
How can you tell when an equation has a solution of all real numbers?
Definition: An equation is a statement that asserts that two mathematical expression are equal in value. When this is true for all values of the variables involved then it is called an identity, for example 2(x - 5) = 2x - 10. If you work at one side (or in both sides separately), you will find the same expression in both side., such that: 2x - 10 = 2x - 10 this is an identity, so that the solution of the equation is the set of all real numbers.
Do x -5 has all real numbers as the solution?
It depends on the domain.
What is the product of a number and its inverse is 1?
That is the identity property of multiplication for all rational numbers, or all real numbers or all complex numbers except (in each case) for 0.
What is the solution of an identity?
By definition, an identity is true for all values of the variable. So the solution is the whole of the domain.
What is the identity property for multiplications?
The identity property is the property that all numbers, real or imaginary, can be multiplied by 1 to obtain the same number; e.g., 14x1 = 14.
What is known about the lines of the equations in a system of equation when the solution set is all real numbers?
No answer is possible. As soon as you have one valid line, all points that are not on that line cannot be part of the solution set. Therefore the solution set cannot be all real numbers.No answer is possible. As soon as you have one valid line, all points that are not on that line cannot be part of the solution set. Therefore the solution set cannot be all real numbers.No answer is possible. As soon as you have one valid line, all points that are not on that line cannot be part of the solution set. Therefore the solution set cannot be all real numbers.No answer is possible. As soon as you have one valid line, all points that are not on that line cannot be part of the solution set. Therefore the solution set cannot be all real numbers.
The statement 2 plus 0 equals 2 is an example of the use of which property of real numbers?
The set of real numbers contains an additive identity - which is denoted by zero - such that, for all real numbers, x, x + 0 = 0 + x = x.
What is the solution set of x x -5 x x 5?
All real numbers.
Show that the set of all real numbers is a group with respect to addition?
Closure: The sum of two real numbers is always a real number. Associativity: If a,b ,c are real numbers, then (a+b)+c = a+(b+c) Identity: 0 is the identity element since 0+a=a and a+0=a for any real number a. Inverse: Every real number (a) has an additive inverse (-a) since a + (-a) = 0 Those are the four requirements for a group.
