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Mathematics

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Set Theory Introduction

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  • 1. Multiple Choice
    30 seconds
    1 pt

    Which of the following statements is FALSE?

     b{b, g, 5, 8, 12 }b\in\left\{b,\ g,\ 5,\ 8,\ 12\ \right\}  

     x{b, g, 5, 8, 12}x\notin\left\{b,\ g,\ 5,\ 8,\ 12\right\}  

     3{b, g, 5, 8, 12}3\in\left\{b,\ g,\ 5,\ 8,\ 12\right\}  

     6{b, g, 5, 8, 12}6\notin\left\{b,\ g,\ 5,\ 8,\ 12\right\}  

  • 2. Multiple Choice
    30 seconds
    1 pt

    Which of the following sets is empty?

    {x | x is an even number between 3 and 5}

    {xZ : x2=5}\left\{x\in\mathbb{Z}\ :\ x^2=5\right\}

    {x Z: x=0 x=5}\left\{x\ \in\mathbb{Z}:\ x=0\ \vee\ x=-5\right\}

    {x | x is a natural number divisible by 2}

  • 3. Multiple Choice
    30 seconds
    1 pt

    Let  C={3, 2, 1, 0, 1, 2, 3}C=\left\{-3,\ -2,\ -1,\ 0,\ 1,\ 2,\ 3\right\} .  Which of the following describe C in set-builder notation.

     C={xZ : x29}C=\left\{x\in\mathbb{Z}\ :\ x^2\le9\right\}  

     C={xZ : x3}C=\left\{x\in\mathbb{Z}\ :\ x\le3\right\}  

     C={xZ: 3<x<3 }C=\left\{x\in\mathbb{Z}:\ -3<x<3\ \right\}  

     C={xZ : x+1=3}C=\left\{x\in\mathbb{Z}\ :\ x+1=3\right\}  

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