1,045 prompts matching "Finding the inverse of an element under a binary operation"
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Spot my mistake forming a converse
Act as my SS2 Further Maths tutor. I tried to form the converse of a conditional statement
Worked example: proving two statements are logically equivalent
Act as my SS2 Further Maths tutor. Show me a full worked example of proving that two compo
Quiz me on biconditional statements
Act as my SS2 Further Maths tutor. Quiz me with four pairs of propositions and ask me each
Give me practice on logical equivalence
Act as my SS2 Further Maths tutor. Give me five pairs of compound propositions and ask me
Spot my mistake testing logical equivalence
Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test
Teach me what a tautology is
Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi
Teach me what a logical argument is
Act as my SS2 Further Maths tutor. Teach me what a logical argument is in propositional lo
Explain argument validity back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to test whether a logi
Teach me predicate logic basics
Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what
Worked example: cyclic permutation around a table
Act as my SS2 Further Maths tutor. Show me a complete worked example of finding the number
Spot my mistake in a combination problem
Act as my SS2 Further Maths tutor. I calculated a combination but I think I forgot to divi
Give me practice on probability using combinatorics
Act as my SS2 Further Maths tutor. Give me six practice probability problems that must be
Spot my mistake in a combinatorial probability problem
Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi
Teach me how to simplify surds
Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s
Worked example: rationalising a binomial surd denominator
Act as my SS2 Further Maths tutor. Show me a complete worked example of rationalising the
Explain logarithm laws back to me
Act as my SS2 Further Maths tutor. I'll explain the laws of logarithms in my own words, an
Quiz me on coordinate geometry basics
Act as my SS2 Further Maths tutor. Quiz me with five coordinate geometry questions coverin
Teach me arithmetic progressions
Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t
Teach me geometric progressions
Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t
Spot my mistake in a geometric progression
Act as my SS2 Further Maths tutor. I calculated the sum of the first eight terms of a geom