Write interval notation for the set \( \{x \mid-3

Ask by Ward Henry. in the United States

Feb 27,2025

The set \( \{x \mid -3 < x \leq 3\} \) indicates that \( x \) is greater than -3 but can equal 3. In interval notation, we use an open parenthesis to denote that -3 is not included (hence the '>') and a closed bracket to denote that 3 is included (hence the '≤'). Therefore, the correct interval notation is \( (-3, 3] \), corresponding to option A. Further exploring interval notation, you can think of it as a way to describe a range of numbers much like a sign on a road indicating speed limits. Just like knowing when to stop or slow down, mastering interval notation lets you navigate mathematical concepts with flair! If you ever find yourself confused about interval notation, remember that open parentheses ( ) signal "not included" while brackets [ ] mean "included." A common mistake is misusing these symbols, so double-check your endpoints before finalizing your answer, just like double-checking your recipe before baking!