Last updated on Sep 20, 2026

Solving Quadratic Inequalities (VCE SSCE Mathematical Methods): Quizzes

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Solving quadratic inequalities

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What makes a quadratic inequality different from a quadratic equation?

Uses inequality symbols not equals

Which symbols can appear in a quadratic inequality?

$>$ , $<$ , $\geq$ , $\leq$

Why do quadratic inequalities require a graphical approach?

The relationship is curved, not straight

What does the memory aid 'SSU' stand for in solving quadratic inequalities?

Solve, Sketch, Use

What is the first step in solving a quadratic inequality?

Solve the corresponding equation

If the coefficient of $x^2$ is positive, how does the parabola open?

Upward (U-shaped)

If the coefficient of $x^2$ is negative, how does the parabola open?

Downward (upside-down U)

For $>$ or $\geq$ inequalities, where should the graph be?

Above the x-axis

For $<$ or $\leq$ inequalities, where should the graph be?

Below the x-axis

For $x^2 + x - 12 > 0$ with x-intercepts at $x = -4$ and $x = 3$ , what is the solution?

$x < -4$ or $x > 3$

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Expanding and Collecting Like Terms

Factorising

Quadratic Equations

Graphing Quadratics

Completing the Square and Turning Points

Graphing Quadratics in Polynomial Form

Solving Quadratic Inequalities

The General Quadratic Formula

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Show more

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Expanding and Collecting Like Terms

Factorising

Quadratic Equations

Graphing Quadratics

Completing the Square and Turning Points

Graphing Quadratics in Polynomial Form

Solving Quadratic Inequalities

The General Quadratic Formula

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Show more

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Explore VCE SSCE Mathematical Methods Flashcards by Topics

Expanding and Collecting Like Terms

Factorising

Quadratic Equations

Graphing Quadratics

Completing the Square and Turning Points

Graphing Quadratics in Polynomial Form

Solving Quadratic Inequalities

The General Quadratic Formula

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Show more

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

Expanding and Collecting Like Terms

Factorising

Quadratic Equations

Graphing Quadratics

Completing the Square and Turning Points

Graphing Quadratics in Polynomial Form

Solving Quadratic Inequalities

The General Quadratic Formula

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Show more

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

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