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.
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.
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 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.
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
the set of real numbers
The result is all real numbers.
It is 1, as it is for all complex numbers - which includes real numbers.
no solution
It depends on the domain.
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.
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.
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.
By definition, an identity is true for all values of the variable. So the solution is the whole of the domain.
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.
A solution with all real numbers indicates that the equation or inequality has no restrictions on its values, meaning any real number can satisfy it. Graphically, this is often represented as a horizontal line on a number line or as a shaded region extending infinitely in both directions. For example, the equation (x = x) or the inequality (x > -\infty) includes every possible real number as a solution. Essentially, it signifies that the solution set is the entire continuum of real numbers.
All real numbers.
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