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Linear Inequalities in One Variable definitions
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Linear Inequality
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Linear Inequality
An algebraic statement with an inequality symbol, representing a range of possible values for the variable.
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Termini in questo insieme (15)
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Linear Inequality
An algebraic statement with an inequality symbol, representing a range of possible values for the variable.
Inequality Symbol
A sign such as >, <, ≥, or ≤ used to compare values and indicate relationships in inequalities.
Solution Set
All values that satisfy an inequality, often shown as a range rather than a single number.
Set Builder Notation
A format using curly brackets and a vertical line to describe all values meeting a specific condition.
Interval Notation
A concise way to express ranges of values, using parentheses or brackets to show inclusion or exclusion.
Number Line
A visual representation of solutions, using arrows, brackets, or circles to indicate included or excluded values.
Parenthesis
A symbol used in interval notation or graphs to show that a boundary value is not included in the solution.
Bracket
A symbol used in interval notation or graphs to indicate that a boundary value is included in the solution.
Open Circle
A graphical marker on a number line showing a value is excluded from the solution set.
Closed Circle
A graphical marker on a number line indicating a value is included in the solution set.
Three Part Inequality
An expression with a variable between two inequality symbols, representing values within a specific range.
Variable Term
The part of an inequality containing the variable, which is isolated to find the solution set.
Coefficient
A numerical factor multiplying the variable in an inequality, manipulated to isolate the variable.
Addition Property of Inequality
A rule allowing the same value to be added to each side of an inequality without changing the solution set.
Multiplication Property of Inequality
A rule for multiplying each side of an inequality by a value, with special care when using negative numbers.