1,334 prompts matching "Logical reasoning with 'and' versus 'or' in sets"
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Explain Back: The symmetric difference of two sets
I have just studied the symmetric difference of two sets in my SS3 Further Mathematics cla
Show All Working: A three-set Venn diagram drawn from a subject survey
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Worked Example: Testing whether a binary operation is closed on a given set
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Practice: Testing a binary operation for associativity
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Show All Working: Solving an equation written in terms of a binary operation
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Worked Example: Collecting like surds in a single sum
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Practice: Rationalising a denominator of the form root a
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Show All Working: Expressing a number in the form a root b
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Show All Working: Solving a quadratic by completing the square
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Worked Example: Finding one over alpha plus one over beta
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Practice: Finding alpha minus beta from the sum and the product
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Show All Working: Finding a coefficient given a stated relation between the roots
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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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Show All Working: Solving a cubic equation by factorisation
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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Show All Working: Three roots in arithmetic progression in a cubic
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Show All Working: Solving a pair of simultaneous linear inequalities
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Worked Example: The number of arrangements of n different objects in a row
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