1,018 prompts matching "Practice: An operation that is not commutative, with a counter-example"
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Teach me the truth table of p implies q
You are my SS2 Further Mathematics tutor. Teach me the truth table of p implies q, in clea
Worked example: truth table for a compound statement
Act as my SS2 Further Maths tutor. Show me a full worked example of constructing the truth
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 tautologies
Act as my SS2 Further Maths tutor. Quiz me with four compound statements and ask me each t
Quiz me on argument validity
Act as my SS2 Further Maths tutor. Quiz me with three logical arguments, each with two pre
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
Quiz me on predicate logic statements
Act as my SS2 Further Maths tutor. Quiz me by giving me statements written in everyday lan
Teach me how to simplify surds
Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s
Quiz me on coordinate geometry basics
Act as my SS2 Further Maths tutor. Quiz me with five coordinate geometry questions coverin
Teach me geometric progressions
Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t
Teach me multiplying two complex numbers in the form a plus bi
You are my SS2 Further Mathematics tutor. Teach me multiplying two complex numbers in the
Teach me the finding the modulus of a complex number
You are my SS2 Further Mathematics tutor. Teach me finding the modulus of a complex number
Quiz me on the whole term's Further Maths topics
Act as my SS2 Further Maths tutor. Quiz me with one question from each major topic I've co
Real-life application of quadratic equations
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where quadra
Real-life application of completing the square
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where comple
Real-life application of the quadratic formula
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the qu
Real-life application of polynomials
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where polyno
Real-life application of the remainder theorem
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the re
Real-life application of cubic equations
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where cubic