Is 0 0 Infinite Or No Solution?

How do you tell if an equation has no solution one solution or infinite solutions?

Summary.

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 does 0 0 mean in a equation?

1 Expert Answer If the elimination produces the equation 0=0, then the two equations are for the same line. This means that there are an infinite number of solutions.

How do you know if an inequality is no solution?

Isolate the absolute value expression on the left side of the inequality. If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions.

What is a problem with no solution called?

A set of equations with no solutions is called inconsistent if there is no simultaneous solution for the set.

How do you create an equation with no solutions or infinitely many solutions?

In this case, the idea is that you have to create something that makes both the right side of the equation and the left side to be equal to each other which gives you an infinite number of solutions. so if you have 5x-8 on the left, you need 5x-8 on the right for everything to cancel and end up with 0=0.

What is the symbol for infinite solutions?

So there are infinite solutions. Sometimes we use the symbol ∞, which means infinity, to represent infinite solutions.

Is 0 0 All real numbers or 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 is your solution if your variables go away and you are left with 0 0?

2 Answers. 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 is the difference between no solution and all real numbers?

If the inequality states something untrue there is no solution. If an inequality would be true for all possible values, the answer is all real numbers.

Which compound inequality has no solution?

More videos on YouTubeCase 1:GraphsCase 3:DescriptionIn cases where there is no overlap between the two inequalities, there is no solution to the compound inequalityInequalitiesx<−3 and x>310 more rows

What are infinitely many solutions?

A system has infinitely many solutions when it is consistent and the number of variables is more than the number of nonzero rows in the rref of the matrix. For example if the rref is has solution set (4-3z, 5+2z, z) where z can be any real number.

Can variables equal zero?

If there is any possibility that your variable or expression equals zero, then cancelling would be a 100% illegal activity. For Question #3 — for all values of x other than x = 0, for the entire continuous infinity of numbers on the number line excluding that solitary value, yes, the fraction 2x/5x would equal 2/5.