Table of Contents
What does it mean if x is all real numbers?
When you end up with a true statement like this, it means that the solution to the equation is “all real numbers”. This equation happens to have an infinite number of solutions. Any value for x that you can think of will make this equation true.
What is real X number?
So x∈R , means that x is a member of the set of Real numbers. In other words, x is a Real number.
How do you write X is all real numbers?
{x | x ≥ 0}. If the domain of a function is all real numbers (i.e. there are no restrictions on x), you can simply state the domain as, ‘all real numbers,’ or use the symbol to represent all real numbers.
Is 0 a complex number?
Therefore we can say that yes, zero is a complex number. So, the correct answer is “YES”. Note: Each and every possible number in mathematics is a complex number, because a complex number is the parent branch of all other number groups like there are two branches of complex numbers real numbers and imaginary numbers.
Is |xy| = |x||y| for X in the set of real numbers?
.:. |xy| = |x||y| for x,y in the set of real numbers. Yes, this is correct. If one wants to be very petty, then an argument, why we may assume and without loss of generality should be added, like symmetry or the possible swap to .
What is the value of x*y =1 For every x?
For all real numbers x, there is a real number y such that x*y=1. because it happens to have just one exception: when x=0, x*y=0 for all real numbers y and there is no way to get some y so that 0*y=1. For all non-zero real numbers x, there is a real number y such that x*y=1.
Is |xy| = |x||y| =0 if either x or Y is 0?
Let x,y belong to the set of real numbers. Since |xy|=|x||y|=0 if either x or y is 0, we can assume that x,y is non-zero. .:. |xy| = |x||y| for x,y in the set of real numbers.
Is there more than one x+y=y?
No claim is being made about there being more than one such object: there might be exactly one, there might be more than one. There is a real number x such that, for all real numbers y, x+y=y. This sentence mixes two kinds of quantifying (“there is” and “for all”).