b) The interval notation of the inequality, \( -6

Ask by Ward Luna. in the United States

Feb 04,2025

The interval notation for the inequality \( -6 < x \leq -1 \) can be written as \( (-6, -1] \). This notation indicates that \( x \) can take any value greater than \(-6\) but less than or equal to \(-1\), capturing the bounds perfectly while showing that \(-1\) is included in the interval. To visualize this interval, imagine a straight line representing the number line. You would place an open dot over \(-6\) (indicating that it is not included) and a closed dot over \(-1\) (indicating that it is part of the solution). This shows exactly where values are acceptable, making it super clear where \( x \) can play!