414 prompts matching "Proving two given lines parallel from their gradients"
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Quiz: A cubic with three distinct real roots
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Show All Working: Solving a cubic that must first be rearranged
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Learn: What makes a sentence a proposition
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Worked Example: Sentences that are not propositions
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Quiz: The truth value of a simple proposition
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Show All Working: Translating an English sentence into logical symbols
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Learn: How many rows a truth table needs
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Worked Example: Conjunction in a three-variable truth table
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Quiz: Disjunction and the inclusive or
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Practice: Negation combined with a compound statement
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Show All Working: Reading the final column of a truth table
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Learn: The conditional statement, if p then q
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Worked Example: The truth table for the conditional
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Quiz: Why a conditional with a false antecedent counts as true
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Practice: The converse of a conditional
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Show All Working: Why a conditional and its converse are not equivalent
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Learn: The biconditional, p if and only if q
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Worked Example: The truth table for the biconditional
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Practice: What logical equivalence means
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Show All Working: The distributive laws in logic
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