Although there are similarities, the solutions to a linear equation comprise all points on one line: a one-dimensional object. The solutions to a linear inequality comprise all points on one side [or the other] of a line: a two-dimensional object.
Yes.
Yes.
There are many simple questions in everyday life that can be modelled by linear equations and solved using linear programming.
Linear inequalities and linear equations are similar in that both involve linear expressions and use the same variables in a linear format. They can be represented graphically, where linear equations depict straight lines, while linear inequalities represent regions of the coordinate plane. Additionally, both types of mathematical statements can be solved using similar algebraic techniques, though solutions for inequalities often involve ranges of values rather than specific points. Ultimately, they both express relationships between variables, but inequalities include a relational aspect (greater than or less than) that equations do not.
Yes, they refer to the same thing.
Somewhat, but the rules are a bit different for inequalities. Example. -2X > 4 X < - 2 See, sign changes when dividing by negative coefficient.
An equation is composed of mathematical statements, which can be arranged to result in a series of equations/inequalities which can be solved for each unknown.
It could be a linear equation in two variables. A single linear equation in two variables cannot be solved.
This is a linear algebra question and it is incomplete since there are no equation which have to be solved.
One linear equation in two variable cannot be solved. It is possible to express either of the two variables in terms of the other but a solution is not possible.One linear equation in two variable cannot be solved. It is possible to express either of the two variables in terms of the other but a solution is not possible.One linear equation in two variable cannot be solved. It is possible to express either of the two variables in terms of the other but a solution is not possible.One linear equation in two variable cannot be solved. It is possible to express either of the two variables in terms of the other but a solution is not possible.
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A single linear equation in two variables cannot be solved.