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 ¬\(p \Rightarrow q\).
• 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...
• 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
• 10M.1.sl.TZ1.3a: Complete the truth table below.
• 10M.1.sl.TZ1.3b: Decide whether the compound...
• 10M.1.sl.TZ2.2a: Complete the truth table shown below.
• 10M.1.sl.TZ2.2b: State whether the compound proposition \((p \vee (p \wedge q)) \Rightarrow p\) is a...
• 11N.1.sl.TZ0.3a: Complete the truth table below.
• 11N.1.sl.TZ0.3b.i: State whether the statement \((p \wedge q) \Rightarrow (\neg p \underline \vee q)\) is a logical...
• 11N.1.sl.TZ0.3b.ii: Give a reason for your answer to part (b)(i).
• 10N.1.sl.TZ0.2a: Complete the following truth table.
• 12M.1.sl.TZ2.2a: Complete the truth table below.
• 09N.2.sl.TZ0.2B, c: An incomplete truth table for the compound proposition \((\neg p \wedge q) \Rightarrow r\) is...
• 09M.1.sl.TZ1.2c: The truth table for these compound propositions is given below. Complete the column for...
• 11M.1.sl.TZ2.3b: Complete the truth table for \(\neg a \Rightarrow p\) .
• 11M.1.sl.TZ2.3c: State whether \(\neg a \Rightarrow p\) is a tautology, a contradiction or neither. Justify your...
• 13M.1.sl.TZ1.6a: Complete the truth table.
• 13M.1.sl.TZ2.2b: Complete the following truth table.
• 13M.1.sl.TZ2.2c: Write down a reason why the statement \(\neg ( p \vee \neg q)\) is not a contradiction.
• 07M.1.sl.TZ0.4b: Fill in the four missing truth-values on the table.
• 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 \(\neg q\).
• 07M.1.sl.TZ0.4c: State whether the proposition...
• SPM.1.sl.TZ0.3b: Complete the truth table for the argument in part (a) using the values below for \(p\) , \(q\) ,...
• 08N.1.sl.TZ0.4a: Complete the truth table below for the symbolic statement \(\neg (p \vee q)\) .
• 08M.1.sl.TZ1.6c: Complete the following truth table for \(p \Rightarrow \neg q\).
• 08M.1.sl.TZ2.1a: (i)     Complete the truth table below. (ii)    State whether the compound propositions...
• 07N.1.sl.TZ0.7c: Complete the following truth table.
• 13N.1.sl.TZ0.3b: Complete the truth table.
• 14M.1.sl.TZ1.3b: Complete the following truth table.
• 15M.1.sl.TZ2.5a: Complete the following truth table.
• 15M.1.sl.TZ2.5b: Determine whether the compound proposition...
• 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.TZ0.5c: State whether the converse and the inverse of an implication are logically equivalent. Justify...