Write the solution
as an interval or
set of values for x.
Quadratic inequalities involve a quadratic expression (ax2+bx+c) and
inequality symbols (>,<,≥,≤) instead of an equal sign. They describe
the range of values where the quadratic expression satisfies the
inequality.
SummarySummary
KeypointsKeypoints
What is Quadratic Inequalities?
Quadratic inequalities involve a quadratic expression (an
expression with a term like (ax2+bx+c) and use inequality
symbols instead of an equal sign. They describe the
relationship between two expressions that are not equal.
Inequality Symbols:
Greater than: >
Less than: <
Greater than or equal to: ≥
Less than or equal to: ≤
Find the roots
Determine
intervals
NotesNotes
QUADRATIC INEQUALITIESQUADRATIC INEQUALITIES
Test intervals
Key Concepts to Remember:
Quadratic inequalities define ranges of values for x, where
the inequality is satisfied.
Solving quadratic inequalities involves:
Factoring or completing the square.
Determining intervals by finding the roots (where the
expression equals 0).
Testing intervals to check where the inequality holds
true.