An inequality like x² − x − 12 < 0, solved with a sketch or sign table. CAPS Grade 11 definition, worked example and related algebra practice.
An inequality like x² − x − 12 < 0, solved with a sketch or sign table.
A quadratic inequality compares a quadratic expression with zero using <, ≤, > or ≥. You solve it by finding the critical values (the roots) and deciding where the parabola is above or below the x-axis.
x² − x − 12 < 0 factorises to (x − 4)(x + 3) < 0, so −3 < x < 4.
x² + x − 6 ≥ 0 gives (x + 3)(x − 2) ≥ 0, so x ≤ −3 or x ≥ 2.
Quadratic inequality is part of the algebra section of CAPS Grade 11 Mathematics and is examined in Paper 1 of the November exam.
Choosing the interval between the roots for a 'greater than' inequality on a parabola that opens upwards.
A quadratic inequality compares a quadratic expression with zero using <, ≤, > or ≥. You solve it by finding the critical values (the roots) and deciding where the parabola is above or below the x-axis.
Quadratic inequality belongs to the Algebra section of CAPS Grade 11 Mathematics, which is examined in Paper 1 of the November exam.
Snap a question that uses quadratic inequality into Snap&Learn with your grade set to Grade 11, or work through the Grade 11 topic guide and practice papers.
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