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Recent questions tagged kenneth-rosen

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Suppose that $A$ is the set of sophomores at your school and $B$ is the set of students in discrete mathematics at your school. Express each of these sets in terms of $A$ and $B$ . the set of sophomores taking discrete mathematics in your ... are sophomores or are taking discrete mathematics the set of students at your school who either are not sophomores or are not taking discrete mathematics
asked Apr 5, 2019 in Set Theory & Algebra Pooja Khatri 16 views
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Let $A$ be the set of students who live within one mile of school and let $B$ be the set of students who walk to classes. Describe the students in each of these sets. $A \cap B$ $A \cup B$ $A -B$ $B-A$
asked Apr 5, 2019 in Set Theory & Algebra Pooja Khatri 11 views
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The defining property of an ordered pair is that two ordered pairs are equal if and only if their first elements are equal and their second elements are equal. Surprisingly, instead of taking the ordered pair as a primitive concept, we can construct ordered pairs using basic notions from set theory. Show that if ... $a = c$ and $b=d.$]
asked Apr 5, 2019 in Set Theory & Algebra Pooja Khatri 21 views
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Translate each of these quantifications into English and determine is truth value. $\exists x$ $\epsilon$ $R(x^3 = -1)$ $\exists x$ $\epsilon$ $Z (x+1>x)$ $\forall x$ $\epsilon$ $(x-1)$ $\epsilon$ Z $\forall x$ $\epsilon$ $Z (x^2 $ $\epsilon$ $Z)$
asked Apr 5, 2019 in Set Theory & Algebra Pooja Khatri 16 views
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Translate each of these quantifications into English and determine is truth value. $\forall x$ $\epsilon$ $(x^2 \neq -1)$ $\exists x$ $\epsilon$ $Z(x^2 =2) $ $\forall x$ $\epsilon$ $(x^2>0)$ $\forall x$ $\epsilon$ $R(x^2=x)$
asked Apr 5, 2019 in Set Theory & Algebra Pooja Khatri 11 views
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Let $A = \left \{ a,b,c \right \}$, $B = \left \{ x,y \right \},$ and $C= \left \{ 0,1 \right \}$. Find $A \times B \times C$ $C \times B \times A$ $C \times A \times B$ $B \times B \times B$
asked Apr 5, 2019 in Set Theory & Algebra Pooja Khatri 14 views
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