DP Mathematical Studies Questionbank

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Directly related questions

• 18M.1.sl.TZ2.2c: State whether \(\left( {q \wedge r} \right) \Rightarrow \neg p\) is a tautology, contradiction or...
• 18M.1.sl.TZ2.2b: Complete the following truth table.
• 18M.1.sl.TZ2.2a: Write down, in words, \(\left( {q \wedge r} \right) \Rightarrow \neg p\).
• 18M.1.sl.TZ1.3c: State whether the compound proposition (\(\neg p \Rightarrow q\)) ∨ (\(\neg p \wedge q\)) is a...
• 18M.1.sl.TZ1.3b: Complete the truth table.
• 18M.1.sl.TZ1.3a: Write down in words the compound proposition ¬\(p \Rightarrow q\).
• 17N.1.sl.TZ0.4c: State whether the statement \(\neg p \Rightarrow \neg (q \vee \neg r)\) is the inverse, the...
• 17N.1.sl.TZ0.4b: Complete the truth table.
• 17N.1.sl.TZ0.4a: Write down in words \((q \vee \neg r) \Rightarrow p\).
• 16N.2.sl.TZ0.6f: Using your answer to part (e), find the value of \(r\) which minimizes \(A\).
• 17M.2.sl.TZ2.2c: Copy the following truth table and complete the last three columns.
• 17M.2.sl.TZ2.2b: Write down in words the compound proposition...
• 17M.2.sl.TZ2.2a: Write down in symbolic form the compound proposition “If \(x\) is a factor of 60 then \(x\) is a...
• 17M.2.sl.TZ2.2e: A row from the truth table from part (c) is given below. Write down one value of \(x\) that...
• 17M.2.sl.TZ2.2d: State why the compound proposition...
• 17M.1.sl.TZ1.3c.ii: State whether the statements \(p \vee \neg q\) and \(q \Rightarrow p\) are logically equivalent....
• 17M.1.sl.TZ1.3c.i: Complete the following truth table.
• 17M.1.sl.TZ1.3b: Write down in symbolic form the compound statement: If I was paid then I completed the task.
• 17M.1.sl.TZ1.3a: Write down in words \(\neg q\).
• 16M.1.sl.TZ2.4c: Hence, justify why \(q \Rightarrow \neg r\)  is not a tautology.
• 16M.1.sl.TZ2.4b: Complete the following truth table.
• 16M.1.sl.TZ2.4a: Consider the following propositions: \(p:\) The lesson is cancelled \(q:\) The teacher is...
• 16M.1.sl.TZ1.5c: Phoebe states that the argument in part (b) can be shown to be valid, without the need of a truth...
• 16M.1.sl.TZ1.5b: Write the following argument in symbolic form:“If \(x\) is a real number and \(x\) is not a...
• 16M.1.sl.TZ1.5a: Consider the following statements \(z\,:\,x\) is an integer\(q\,:\,x\) is a rational...
• 16N.1.sl.TZ0.5c: On a morning when Sandi does not get up before eight o’clock, use your truth table to determine...
• 16N.1.sl.TZ0.5b: Complete the following truth table.
• 16N.1.sl.TZ0.5a: Write down in words the compound proposition
• 15M.1.sl.TZ2.11b: Write down in symbolic form the compound statement \(r:\) If \(x\) is a multiple of \(12\), then...
• 15M.1.sl.TZ2.5a: Complete the following truth table.
• 15M.2.sl.TZ1.2c: Use your truth table to determine whether the argument in part (a) is valid. Give a reason for...
• 15M.2.sl.TZ1.2a: Write the following argument in symbolic form. “If the land has been purchased and the building...
• 15M.2.sl.TZ1.2b: In your answer booklet, copy and complete a truth table for the argument in part (a). Begin your...
• 14N.1.sl.TZ0.5b: Complete the following truth table.
• 14N.1.sl.TZ0.5a: Write down in words, the inverse of \(p \Rightarrow q\).