1,334 prompts matching "Universal set and its role in set problems"
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Final Revision: Proving that root 2 is irrational
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Quiz: Solving an index equation by writing both sides to the same base
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Final Revision: Sketching the graph of a logarithmic function
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Learn: The sum and the product of the roots read from the coefficients
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Quiz: Forming a quadratic equation whose roots are given
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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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Final Revision: Solving a disguised quadratic by substitution
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Worked Example: Finding one over alpha plus one over beta
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Quiz: Finding alpha cubed plus beta cubed
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Final Revision: Checking a symmetric-function answer by solving the equation outright
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Worked Example: Evaluating a polynomial by substitution
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Practice: Factorising a cubic completely once one factor is known
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Spot My Mistake: The factor theorem for a divisor of the form ax minus b
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Practice: Finding the third root of a cubic when two are known
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Spot My Mistake: The relations between roots and coefficients for a quartic
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Final Revision: Checking that the roots found satisfy the original equation
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Quiz: Solving a quadratic inequality using a sign table
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Practice: Solving an inequality with the unknown in the denominator
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Spot My Mistake: Showing the solution of an inequality on a number line
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