Enhance Your Learning with Algebraic Inequations Flash Cards for quick learning
A mathematical statement that compares two expressions using an inequality symbol (<, >, ≤, ≥).
An inequation where the highest power of the variable is 1.
An inequation where the highest power of the variable is 2.
An inequation where the variable appears in the denominator of a rational expression.
An inequation involving the absolute value of a variable.
An inequation where the variable appears as an exponent.
An inequation where the variable appears inside a logarithm.
An inequation involving trigonometric functions of the variable.
An inequation where the variable appears in a polynomial expression.
An inequation where the variable appears inside a radical.
A set of two or more inequations with the same variables.
The solution set of a system of inequations where all the individual inequations are satisfied simultaneously.
The solution set of a system of inequations where at least one of the individual inequations is satisfied.
The solution set of a system of inequations where any value of the variable satisfies all the individual inequations.
The solution set of a system of inequations where there is no value of the variable that satisfies all the individual inequations.
A way to represent the solution set of an inequation using intervals on the number line.
An interval that does not include its endpoints.
An interval that includes its endpoints.
An interval that includes one endpoint but not the other.
An interval that extends indefinitely in one or both directions.
The set of all values of the variable that satisfy an inequation.
A symbol used to compare two expressions in an inequation.
The inequality symbol (<) used to indicate that one expression is smaller than another.
The inequality symbol (>) used to indicate that one expression is larger than another.
The inequality symbol (≤) used to indicate that one expression is smaller than or equal to another.
The inequality symbol (≥) used to indicate that one expression is larger than or equal to another.
An inequation that combines two or more individual inequations using the logical operators 'and' or 'or'.
The logical operator used to combine two individual inequations in a compound inequation, indicating that both inequations must be satisfied.
The logical operator used to combine two individual inequations in a compound inequation, indicating that at least one of the inequations must be satisfied.
The set of values that satisfy both individual inequations in a compound inequation.
The set of values that satisfy at least one of the individual inequations in a compound inequation.
The compound inequation has an infinite number of values that satisfy it.
The compound inequation has no values that satisfy it.
Representing the solution set of an inequation on a coordinate plane.
The line that separates the solution region from the non-solution region in a graphed inequation.
The region on the coordinate plane that represents the solution set of a graphed inequation.
A line used to represent the boundary of an inequation when the inequality symbol includes 'or equal to' (≤ or ≥).
A line used to represent the boundary of an inequation when the inequality symbol does not include 'or equal to' (< or >).
A value of the variable that makes the inequation true.
A value of the variable that makes the inequation false.
The graphed inequation does not have any points that satisfy it.
The graphed inequation has an infinite number of points that satisfy it.
Applying inequations to solve real-world problems involving constraints, inequalities, and optimization.
Finding the maximum or minimum value of a quantity within given constraints.
The set of all possible solutions to a system of inequations in an optimization problem.
The quantity to be optimized in an optimization problem.
A point in the feasible region of an optimization problem where the objective function reaches its maximum or minimum value.
The set of values that do not satisfy the constraints in an optimization problem.
The set of values that satisfy the constraints in an optimization problem, but the objective function does not have a maximum or minimum value.