Quadratic Inequalities (Grade 11 NSC Matric Mathematics): Quizzes

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Quadratic Inequalities
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What do quadratic inequalities give as solutions compared to quadratic equations?

Ranges of x-values

What are critical values in quadratic inequalities?

x-values where expression equals zero

Why is a table of signs used when solving quadratic inequalities?

Organises work & avoids sign errors

If a>0a > 0 in ax2+bx+cax^2 + bx + c, what shape does the parabola have?

Opens upward (U-shape)

What is true about (expression)2(expression)^2 for any real number expression?

Always positive or zero

What must you do to the inequality sign when multiplying by a negative number?

Flip the inequality sign

What is the solution to x2−5x+6≥0x^2 - 5x + 6 \geq 0?

x≤2x \leq 2 or x≥3x \geq 3

In fractions, what values cannot be part of the solution?

Values making denominators zero

Which inequality symbols mean boundary points are included in the solution?

≤\leq and ≥\geq

What is the first step in solving a quadratic inequality?

Factorise the quadratic expression

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