# Is 0 0 Infinite Or No Solution?

## What is an example of an infinite solution?

The first is when we have what is called infinite solutions.

This happens when all numbers are solutions.

The equation 2x + 3 = x + x + 3 is an example of an equation that has an infinite number of solutions.

….

## Does ø mean no solution?

Sometimes we use the symbol Ø to represent no solutions. That symbol means “empty set” which means that the set of all answers is empty. In other words, there is no answer.

## Is 0 0 All real numbers or no solution?

Be careful that you do not confuse the solution x = 0 with “no solution”. The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation.

## What does 0 0 mean in a equation?

2 Answers. Wataru. . If you end with 0=0 , then it means that the left-hand side and the right-hand side of the equation are equal to each other regardless of the values of the variables involved; therefore, its solution set is all real numbers for each variable.

## What does a zero with a line through it mean in algebra?

The symbols Ø and “∅” (U+2205) are used in mathematics to refer to the empty set.

## What does ø mean in algebra?

The letter “Ø” is sometimes used in mathematics as a replacement for the symbol “∅” (Unicode character U+2205), referring to the empty set as established by Bourbaki, and sometimes in linguistics as a replacement for same symbol used to represent a zero. … Slashed zero is an alternate glyph for the zero character.

## What does R mean in math?

real numbersList of Mathematical Symbols • R = real numbers, Z = integers, N=natural numbers, Q = rational numbers, P = irrational numbers. Page 1. List of Mathematical Symbols. • R = real numbers, Z = integers, N=natural numbers, Q = rational numbers, P = irrational numbers.

## Why do parallel lines never intersect?

Thus if lines are parallel both line equations will have same slope that is same angle (inclination) with x axis. … This means that these two lines don’t have any point in common. Thus parallel lines will never intersect.

## Is 0 a real number?

Real numbers consist of zero (0), the positive and negative integers (-3, -1, 2, 4), and all the fractional and decimal values in between (0.4, 3.1415927, 1/2). Real numbers are divided into rational and irrational numbers. ), it is rational.

## What is an equation with no solution called?

Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution. This is called an “inconsistent” system of equations, and it has no solution.

## How do you know if there is no solution?

If the equation ends with a false statement (ex: 0=3) then you know that there’s no solution. If the equation ends with a true statement (ex: 2=2) then you know that there’s infinitely many solutions or all real numbers.

## What are infinitely many solutions?

If a system has infinitely many solutions, then the lines overlap at every point. In other words, they’re the same exact line! This means that any point on the line is a solution to the system. Thus, the system of equations above has infinitely many solutions.

## Is the number 9 real?

These are the set of all counting numbers such as 1, 2, 3, 4, 5, 6, 7, 8, 9, ……. ∞. … Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

## Is Pi a real number?

Pi is an irrational number, which means that it is a real number that cannot be expressed by a simple fraction. That’s because pi is what mathematicians call an “infinite decimal” — after the decimal point, the digits go on forever and ever.

## Is dividing by zero infinity?

Infinity is not a real number, and even if it were, it wouldn’t be the answer to dividing something by zero. There is no number that you can multiply by 0 to get a non-zero number. There is NO solution, so any non-zero number divided by 0 is undefined.

## What lines have infinite solutions?

A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.