DP Mathematics HL Questionbank

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Directly related questions

• 18M.3srg.hl.TZ0.2b: Let S be a set containing $n$ elements where $n \in \mathbb{N}$. Show that S has ${2^n}$...
• 18M.3srg.hl.TZ0.2a.ii: Verify that A \ C ≠ C \ A.
• 18M.3srg.hl.TZ0.2a.i: Find $\left( {A \cup B} \right) \cap \left( {A \cup C} \right)$.
• 17N.3srg.hl.TZ0.2b.ii: In the context of the distributive law, describe what the result in part (b)(i) illustrates.
• 17N.3srg.hl.TZ0.2b.i: For sets $P$, $Q$ and $R$, verify that $P \cup (Q\Delta R) \ne (P \cup Q)\Delta (P \cup R)$.
• 17N.3srg.hl.TZ0.2a.ii: Represent the following set on a Venn diagram, $A \cap (B \cup C)$.
• 17N.3srg.hl.TZ0.2a.i: Represent the following set on a Venn diagram, $A\Delta B$, the symmetric difference of the...
• 12M.3srg.hl.TZ0.2a: Given that $R = (P \cap Q')'$ , list the elements of R .
• 12M.3srg.hl.TZ0.2b: For a set S , let ${S^ * }$ denote the set of all subsets of S , (i)     find \({P^ *...
• 12N.3srg.hl.TZ0.3a: Write down all four subsets of A .
• 11M.3srg.hl.TZ0.2a: A \ B ;
• 11M.3srg.hl.TZ0.2b: $A\Delta B$ .
• 11N.3srg.hl.TZ0.2a: Determine, using Venn diagrams, whether the following statements are true. (i)    ...
• 11N.3srg.hl.TZ0.2b: Prove, without using a Venn diagram, that $A\backslash B$ and $B\backslash A$ are disjoint sets.
• 14M.3srg.hl.TZ0.3a: (i)     Sketch the set $X \times Y$ in the Cartesian plane. (ii)     Sketch the set...
• 13N.3srg.hl.TZ0.5: (a)     Given a set $U$, and two of its subsets $A$ and $B$, prove...