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A system of inequalities can involve two or more inequalities?
false
Can a system of equations have more than two inequalities?
A system of equations can have any number of inequalities.
A system of inequalities cannot involve more than two inequalities?
false
What is the set of two or more inequalities?
A set of two or more inequalities is known as a system of inequalities. This system consists of multiple inequalities that involve the same variables and can be solved simultaneously to find a range of values that satisfy all conditions. Solutions to a system of inequalities are often represented graphically, where the feasible region indicates all possible solutions that meet all the inequalities. Such systems are commonly used in linear programming and optimization problems.
When does A system of two linear inequalities have a solution?
When there is an ordered pair that satisfies both inequalities.
What consists of 2 or more linear inequalities in the same variable?
A system of linear inequalities
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.
When is it possible for a system of two linear inequalities to have no solution?
A system of two linear inequalities can have no solution when the inequalities represent parallel lines that do not intersect. This occurs when the lines have the same slope but different y-intercepts. In such cases, there is no set of values that can satisfy both inequalities simultaneously, resulting in an empty solution set.
Is it true that Every system of inequalities in two variables has at least one solution?
No.
Every system of inequalities has a solution?
Which system of inequalities has a solution set that is a line?
When we graph a system of two linear inequalities any point in the doubly shaded region has coordinates that contain both inequalities?
In a graph of a system of two linear inequalities, the doubly shaded region represents the set of all points that satisfy both inequalities simultaneously. Any point within this region will meet the criteria set by both linear inequalities, meaning its coordinates will fulfill the conditions of each inequality. Consequently, this region illustrates all possible solutions that satisfy the system, while points outside this region do not satisfy at least one of the inequalities.
A system of two linear inequalities has either no points or infinitely many points in its solution?
the answer is true
