BackAbsolute Value Inequalities definitions
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1/15BackSkip to main contentBackAbsolute Value
Represents the distance from zero on the number line, always non-negative regardless of the sign of the input. Inequality
A mathematical statement comparing two values, indicating if one is less than, greater than, or equal to the other. Compound Inequality
A statement combining two inequalities, often joined by 'and' or 'or', to describe a range of possible values. Interval Notation
A concise way to express the set of solutions for an inequality, using brackets and parentheses to show inclusion or exclusion. Bracket
A symbol used in interval notation to indicate that an endpoint is included in the solution set. Parenthesis
A symbol in interval notation showing that an endpoint is not included in the solution set. Closed Circle
A graphical marker on a number line indicating that a specific value is included in the solution. Open Circle
A graphical marker on a number line showing that a specific value is not included in the solution. Solution Set
The collection of all values that satisfy a given inequality or equation. Special Case
A scenario in absolute value inequalities where the comparison involves zero or a negative number, requiring unique solution rules. Three Part Inequality
An expression with three segments, such as -a < x < a, used to describe values between two endpoints. Distance
A measure of how far a number is from zero, always non-negative and central to absolute value concepts. All Real Numbers
A solution set that includes every possible value on the number line, often resulting from certain absolute value inequalities. No Solution
A situation where no value satisfies the given inequality, typically when absolute value is compared to a negative. Endpoint
A boundary value in interval notation or on a graph, marking the limits of a solution set.
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