Example 3.1.1  Set Elements


Answer True or False to the following:

  1. {1, 2, 3} = {1, 3, 2}

  2. {a, b, a, a} = {b, a}

  3. a  {a}

  4. {a}  {{a}, {b}}

  5. b  {a, {b}, c}

  6. {a, {b}}{a, {b}, c}

  7. {x  R | -2 < x < 1} = {-2, -1, 0}

  8. {x  Z+ | -4 < 2x < 6} = {-1, 0, 1, 2, 3}

  9.  = {0}

  10. {x  Z | x2}  R+