From the problems on the previous page, here is the completed chart.

Problem |
Basic Style |
Set Builder |
Interval |

a |
\(-3≤ x <2\) |
\({x|-3≤ x <2}\) |
\([-3, 2)\) |

b |
\(-2< x< 3\) |
\({x|-2< x < 3}\) |
\((-2, 3)\) |

c |
\(-3 < x ≤ 1\) |
\({x|-3 < x ≤ 1}\) |
\((-3, 1]\) |

d |
\(-1 ≤ x ≤ 3\) |
\({x|-1 ≤ x ≤ 3}\) |
\([-1, 3]\) |

To help remember, think about what the different notations share in common and what is different about them. Which notations do you feel most comfortable and why?

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