1,045 prompts matching "Why a rational number added to an irrational one stays irrational"
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Explain solving cubic equations back to me
Act as my SS2 Further Maths tutor. I'll explain the full process for solving a cubic equat
Explain propositions back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between a p
Quiz me on why negation reverses every truth value
Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val
Explain truth tables back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to build a truth table
Teach me converse and inverse propositions
Act as my SS2 Further Maths tutor. Teach me how to form the converse and the inverse of a
Worked example: converse and inverse of a statement
Act as my SS2 Further Maths tutor. Show me a full worked example of writing the converse a
Give me practice on converse and inverse propositions
Act as my SS2 Further Maths tutor. Give me six conditional statements and ask me to form a
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 conditionals versus tautologies
Act as my SS2 Further Maths tutor. Teach me the difference between a conditional statement
Quiz me on tautologies
Act as my SS2 Further Maths tutor. Quiz me with four compound statements and ask me each t
Give me practice identifying tautologies
Act as my SS2 Further Maths tutor. Give me six compound propositions and ask me to constru
Spot my mistake identifying a tautology
Act as my SS2 Further Maths tutor. I built a truth table to check if a statement was a tau
Explain tautologies back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words what makes a compound stat
Worked example: testing an argument for validity
Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic
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 the universal and existential quantifiers
Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie
Explain predicate logic back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between pro
Quiz me on combinations where one member must be included
Act as my SS2 Further Maths tutor. Quiz me with five combination problems, mixing straight
Give me practice on permutations and combinations
Act as my SS2 Further Maths tutor. Give me ten mixed practice questions on permutations an
Give me practice on probability using combinatorics
Act as my SS2 Further Maths tutor. Give me six practice probability problems that must be