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When an equation has no solutions, denote it with
The solution set of an equation is, however defined as the set of all solutions that satisfy the equation and since that set has no members the solution set is empty. Thus, saying that the …
Is there a formal name for an equation that has no solution?
A set of equations with no solutions is called inconsistent if there is no simultaneous solution for the set.. It is important to note that a set containing one element is still a set, i.e. $ 0 = 71 $ is …
What does it mean when a Linear equation has no solutions?
$\begingroup$ The solution set to a system of equations is the set of all values such that each of the equations are true. In your example, the solution set of $-7x+3=-7x+2$ is empty, i.e. there …
Inequality that has no solutions - Mathematics Stack Exchange
Jul 2, 2017 · We have the following inequality: $$ x < - \sqrt{x^2-8x+4} $$ It is very easy to check that it has no solution (graphically). But I'm having a lot of trouble with a proof. I know for …
What is the no solution symbol? - Answers
Sep 14, 2023 · What is the no solution symbol? Anonymous. ∙ 12y ago. Updated: 9/14/2023. ... What is the symbol for a solution? The equals sign: = Is the symbol more than or less than?
soft question - Is 'no solution' the same as 'undefined'?
To expand on the whole "no solution" vs. "undefined" thing, both "no solution" and "infinitely many solutions" (and in general anything other than "exactly one solution") mean that the expression …
ordinary differential equations - Proving there is no solution to an ...
Oct 2, 2022 · Question: Show that, for any a > 0, there exists no solution u : $[0, \frac{1}{a}] \rightarrow \mathbb{R}$ to the problem $$ \begin{cases} \frac{du}{dt} = u^{2}+e^{-u ...
How to determine if the augmented matrix has no solution?
Jan 14, 2019 · Case One: unique solution. An augmented matrix has an unique solution when the equations are all consistent and the number of variables is equal to the number of rows. …
How can I prove this equation has no real solution?
May 20, 2016 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
Finding values of $a$ which this system of linear equations has …
Jan 22, 2021 · Determine $"a"$ for which the system has no solutions, infinitely many solutions, or has one solution (1 answer) Closed 4 years ago . Given the following equation:
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