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When we graph a system of two linear inequalities any point in the doubly shaded region has coordinates that contain both inequalities?
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Do solutions to systems of linear inequalities satisfy both inequalities?
Yes.
What is the purpose of linear inequalities?
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Must solutions to systems of linear inequalities satisfy both inequalities?
Yes.
Do solutions to systems of linear inequalities need to satify both inequalities?
If it is joined by an "and" it does. If it is joined by an "or" it does not.
When does A system of two linear inequalities have a solution?
When there is an ordered pair that satisfies both inequalities.
A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope?
A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope.
What consists of 2 or more linear inequalities in the same variable?
A system of linear inequalities
Do solutions to systems of linear inequalities satisfy both inequalities?
Yes.
What is the purpose of linear inequalities?
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Must solutions to systems of linear inequalities satisfy both inequalities?
Yes.
Inequalities containing two inequality symbols are called what?
Linear inequalities in one variable
Do solutions to systems of linear inequalities need to satify both inequalities?
If it is joined by an "and" it does. If it is joined by an "or" it does not.
When does A system of two linear inequalities have a solution?
When there is an ordered pair that satisfies both inequalities.
How are quadratic inequalities different from linear inequalities?
A linear inequality is all of one side of a plane. A quadratic inequality is either the inside of a parabola or the outside.
Is it possible for a system of two linear inequalities to ha a single point as a solution?
yes it is possible for a system of two linear inequalities to have a single point as a solution.
Do solutions to systems of linear inequalities need to satisfy linear inequalities?
No. For example, the solution to x ≤ 4 and x ≥ 4 is x = 4.
How are linear inequalities and linear equations the same?
They are not. An inequality cannot, by definition, be the same as an equation.
