## notation

We just had to write down $\varnothing$ for no solution but we were not allowed to write the {} symbols around it. $\endgroup$ – imranfat Nov 20, 2014 at 19:44.

## How to find out when an equation has no solution

How to find out when an equation has no solution – Algebra 1 Academic Tutoring Equations / Inequalities Linear / Rational / Variable Equations » How to find out when an equation has no solution . That is, these are the values of that will cause the equation to be undefined.

## One Solution, No Solution, or Infinitely Many Solutions

9.4K Share 725K views 5 years ago New Algebra Playlist This algebra video tutorial explains how to determine if a system of equations contain one solution, no solution, or infinitely many.

## Definition & Symbol Video & Lesson Transcript

The phrase “no solution” means that an equation or inequality does not have a solution. Since 0 would be a solution, these are not the same thing. Having no solution means no value.

## How to find out when an equation has no solution

When two equations have the same slope, they will have either no solution or infinite solutions. By putting both equations into the form , we get: and. With the equations in this form, we can see that they have the same slope, but different y-intercepts. Therefore, there is no solution to this system.

## Creating an equation with no solutions (video)

Kim Seidel 5 years ago I think you are saying that you need to find a value of “k” so that the equation will have no solution. For this to happen. 1) the coefficient of “n” must match on both sides of the equation 2) the constant on each side must be different. Start by simplifying your equation — distribute the 4: 320 + 4n = 3kn.

## Solving quadratics by completing the square: no solution

0=4 (x+5)² + 4*45 and multiply 4*45. 0=4 (x+5)² + 180 Now subtract 180 from each side. -180 = 4 (x+5)² And now you could divide each side by 4. -45 = (x+5)². So, as you see the 4 didn’t just disappear. It is that when one side was 0, when both sides were divided by 4 it just looked like it was factored out and disappeared. I hope that makes.

## System of equations word problem: no solution

14m = total toys. 2w = toys packed. 40 = toys remaining unpacked. The key word is remaining. This is the result of a subtraction. As the workers pack the toys, they reduce the total toys. The 40 are the amount leftover where there weren’t enough workers to pack them. So, Sal’s version: 14m – 2w = 40 is the equation you want.

## A compound inequality with no solution (video)

A compound inequality with no solution Google Classroom About Transcript Sal solves the compound inequality 5x-325, only to realize there’s no x-value that makes both inequalities true. Created by Sal Khan and Monterey Institute for Technology and Education. Questions Tips & Thanks Want to join the conversation? Sort by: Top Voted Coco.

## Empty set

The latter two symbols were introduced by the Bourbaki group (specifically André Weil) in 1939, inspired by the letter Ø in the Danish and Norwegian alphabets. In the past, “0” was occasionally used as a symbol for the empty set, but this is now considered to be an improper use of notation. The symbol ∅ is available at Unicode point U+2205.