Express the interval using two different representations. \[ [-6,-1] \]
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The Deep Dive
First off, let’s put on our math hats! The interval \([-6, -1]\) can be expressed in set notation as \(\{x \,|\, -6 \leq x \leq -1\}\). This means we're talking about all the numbers \(x\) that lie between -6 and -1, inclusive! Now, let’s sprout some stylish brackets! We can also represent this interval using interval notation as \([-6, -1]\), which is the same as the original but presented with some finesse. This notation clearly indicates that both endpoints -6 and -1 are part of the interval!