How do you know if an answer is infinite?

If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions. If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.

How do you know if its an infinite solution?

An infinite solution has both sides equal. For example, 6x + 2y - 8 = 12x +4y - 16. If you simplify the equation using an infinite solutions formula or method, you'll get both sides equal, hence, it is an infinite solution. Infinite represents limitless or unboundedness.

How do you know if it is infinite number of solutions or no solution?

If we can solve the equation and get something like x=b where b is a specific number, then we have one solution. If we end up with a statement that's always false, like 3=5, then there's no solution. If we end up with a statement that's always true, like 5=5, then there are infinite solutions.. Created by Sal Khan.

What is the condition for infinite solution?

Conditions for Infinite Solution

The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.

Does 0 0 mean infinite solutions?

If you get an equation that is always true, such as 0 = 0, then there are infinite solutions.

One Solution, No Solution, or Infinitely Many Solutions - Consistent & Inconsistent Systems

Does 0 count as infinity?

The concept of zero and that of infinity are linked, but, obviously, zero is not infinity. Rather, if we have N / Z, with any positive N, the quotient grows without limit as Z approaches 0. Hence we readily say that N / 0 is infinite.

Is 0 Infinite or finite?

Answer and Explanation:

Zero is a finite number. To understand why zero is considered finite, let's explore the concept of cardinality in sets. Cardinality of a set refers to the number of elements it contains. An empty set, denoted by , is a set that contains no elements.

Does a row of zeros always mean infinite solutions?

The row of 0's only means that one of the original equations was redundant. The solution set would be exactly the same if it were removed. The following examples show how to get the infinite solution set starting from the reduced row-echelon form of the augmented matrix for the system of equations.

What does no solution look like?

An equation has no solution if solving it leads to a false statement, such as 0 = 5. There are three ways to tell if a system of equations has no solution: 1) Graphically: there is no point at which all of the functions intersect. 2) Algebraically: solving the system leads to a false statement, such as 0 = 5.

What are the conditions for infinite solutions of three equations?

(i) If the value of x, y and z in terms of t satisfy the third equation, then the system is said to be consistent and will have infinite solutions. (ii) If the values of x, y, and z don't satisfy the third equation, the system is said to be inconsistent and will have no solution.

Which equation has no solution?

The last type of equation is known as a contradiction, which is also known as a No Solution Equation. This type of equation is never true, no matter what we replace the variable with. As an example, consider 3x + 5 = 3x - 5. This equation has no solution.

What is 0 0 and why?

In ordinary arithmetic, the expression has no meaning, as there is no number which, multiplied by 0, gives a (assuming a≠0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 0/0 is also undefined; when it is the form of a limit, it is an indeterminate form. Q.

Which system has no solution?

A system of linear equations that has no solution is called an inconsistent pair of linear equations.

Does infinite solutions mean all real numbers?

All real numbers include natural numbers, integers, integers, fractions, and irrational numbers. Infinitely many solutions can be all natural numbers or real numbers between two limits.

Is zero one or infinitely many solutions?

If the variable was cancelled out and the resulting equation is true, then the equation has infinite solutions. If the variable was cancelled out and the resulting equation is false, then the equation has zero solutions.

Is 12 12 an infinite solution?

Answer. Final answer: When an equation simplifies to a statement like 12 = 12, it means there's an infinite number of solutions as the statement is always true.

Does undefined mean infinitely many solutions?

When something is undefined, this means that there are no solutions. However, when something in indeterminate, this means that there are infinitely many solutions to the question. Again, zero and infinity are the root to a lot of mathematics, including the difference between these two words.

What are 10 examples of infinite?

Ten infinite sets: All integers greater than 1, all integers greater than 2, all integers greater than 3, all integers greater than 4, all integers greater than 5, all integers greater than 6, all integers greater than 7, all integers greater than 8, all integers greater than 9, all integers greater than 10.

Is 2 4 6 8 10 infinite or finite?

For example, 2, 4, 6, 8, 10 is a finite sequence with five terms, whereas 2, 4, 6, 8, 10, ... continues without bound and is an infinite sequence.

What is an example of infinite?

We can call a set infinite if it is limitless from beginning to end or has continuity on both sides. The set of whole numbers, W = 0, 1, 2, 3,…….., for example, is an infinite set since the number of elements is infinite. Uncountable infinite sets include the set of real numbers.

Can we divide 0 by 0?

So zero divided by zero is undefined. So, let's label it as that. Make sure that when you are faced with something of this nature, where you are dividing by zero make sure you don't put an actual number down, or a variable down.

Can you add 1 to infinity?

Mathematics is based on formal rules that govern the subject. When a list of formal rules applies to a type of object (e.g., "a number") those rules must always apply — no exceptions! . If you add one to infinity, you still have infinity; you don't have a bigger number.

Can we write 1 0 as infinity?

Note: We must remember that the value of 1 divided by 0 is infinity only in the case of limits. The word infinity signifies the length of the number. In the case of limits, we only assume that the value of limit x tends to something and not equal to something. So, we consider it infinity.

Is 4x 4x no solution?

If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions.