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A set of two or more inequalities is commonly referred to as a system of inequalities. This system can involve linear or nonlinear inequalities, and it defines a region in the coordinate plane where the solutions to all inequalities overlap. Each inequality in the set represents a constraint, and the solution is typically visualized as a shaded area that satisfies all the inequalities simultaneously. Solving the system helps identify feasible solutions that meet all conditions laid out by the inequalities.
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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.
How many solution sets do systems of linear inequalities have Must solutions to systems of linear inequalities satisfy both inequalities In what case might they not?
A solution to a linear inequality in two variables is an ordered pair (x, y) that makes the inequality a true statement. The solution set is the set of all solutions to the inequality. The solution set to an inequality in two variables is typically a region in the xy-plane, which means that there are infinitely many solutions. Sometimes a solution set must satisfy two inequalities in a system of linear inequalities in two variables. If it does not satisfy both inequalities then it is not a solution.
Can a system of equations have more than two inequalities?
A system of equations can have any number of inequalities.
What are the two rules for inequalities which do not occur in equations?
Inequalities are not reflexive. Inequalities are not commutative.
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 inequalities can involve two or more inequalities?
false
A system of inequalities cannot involve more than two inequalities?
false
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.
How many solution sets do systems of linear inequalities have Must solutions to systems of linear inequalities satisfy both inequalities In what case might they not?
A solution to a linear inequality in two variables is an ordered pair (x, y) that makes the inequality a true statement. The solution set is the set of all solutions to the inequality. The solution set to an inequality in two variables is typically a region in the xy-plane, which means that there are infinitely many solutions. Sometimes a solution set must satisfy two inequalities in a system of linear inequalities in two variables. If it does not satisfy both inequalities then it is not a solution.
Can a system of equations have more than two inequalities?
A system of equations can have any number of inequalities.
Can A system of inequalities have two or more inequalities?
Some can but some dont... p.s no offense your dumb xD
What is the definition of equivalent inequalities?
The definition of equivalent inequalities: inequalities that have the same set of solutions
What are the two rules for inequalities which do not occur in equations?
Inequalities are not reflexive. Inequalities are not commutative.
Every system of inequalities has a solution?
Which system of inequalities has a solution set that is a line?
What is two or more linear inequalities using the same variable?
thug life it
How many solution sets do systems of linear inequalities have. Must solutions to systems of linear inequalities satisfy both inequalities. In what case might they not?
There is only one solution set. Depending on the inequalities, the set can be empty, have a finite number of solutions, or have an infinite number of solutions. In all cases, there is only one solution set.
What is a compound inequalities?
two inequalities joined by and or or. Drew Saddler was here
