1,045 prompts matching "Structured question: surd equation with a solution to reject"
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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
Quiz me on when a conjunction of three statements is true
Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val
Quiz me on the inclusive sense of 'or' in a disjunction
Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val
Give me practice constructing truth tables
Act as my SS2 Further Maths tutor. Give me five compound statements combining negation, co
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
Spot my mistake in a truth table
Act as my SS2 Further Maths tutor. I constructed a truth table for a compound statement bu
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
Quiz me on converse and inverse
Act as my SS2 Further Maths tutor. Quiz me by giving me four conditional statements and as
Spot my mistake forming a converse
Act as my SS2 Further Maths tutor. I tried to form the converse of a conditional statement
Teach me biconditional propositions
Act as my SS2 Further Maths tutor. Teach me what a biconditional proposition is, using the
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
Spot my mistake testing logical equivalence
Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test
Spot my mistake testing an argument
Act as my SS2 Further Maths tutor. I tested a logical argument for validity using a truth
Teach me combinations
Act as my SS2 Further Maths tutor. Teach me what a combination is and how it differs from
Worked example: choosing a committee
Act as my SS2 Further Maths tutor. Show me a full worked example of using combinations to
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 permutation problem
Act as my SS2 Further Maths tutor. I solved a permutation word problem but I think I used
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
Worked example: probability of selecting a committee
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the probabilit
Worked example: expanding (x+y)^4 using Pascal's triangle
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin