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Yes.
Yes.
When there is an ordered pair that satisfies both inequalities.
If it is joined by an "and" it does. If it is joined by an "or" it does not.
No. For example, the solution to x ≤ 4 and x ≥ 4 is x = 4.
A system of linear inequalities
Yes.
Yes.
Linear inequalities in one variable
When there is an ordered pair that satisfies both inequalities.
If it is joined by an "and" it does. If it is joined by an "or" it does not.
A linear inequality is all of one side of a plane. A quadratic inequality is either the inside of a parabola or the outside.
No. For example, the solution to x ≤ 4 and x ≥ 4 is x = 4.
They are not. An inequality cannot, by definition, be the same as an equation.
Linear Inequalities
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.
to solve a linear in equality you have to write it out on a graph if the line or shape is made ou of strate lines its linear