\( x \leq \) Exactly right. High fivel 2. Show the full solution Express the answer to Question 1 in set notation, by choosing from the options and filling in the value of \( a \) Answer: \( x \in[a ; \infty) \) \( x \in(-\infty ; a) \) \( x \in(-\infty ; a] \) \( x \in[-\infty ; a] \)
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Bonus Knowledge
To express \( x \leq a \) in set notation, we need to identify the correct interval. The solution indicates that \( x \) can take on any value less than or equal to \( a \). Therefore, the interval would include \( a \) and stretch to negative infinity, which is expressed as \( x \in (-\infty ; a] \). Now, let's give a high five for logic! When you see this kind of inequality, remember that it covers all values from negative infinity up to and including \( a \). It’s like having an all-you-can-eat buffet where everyone is welcome up to the limit, including the limit itself—yummy!
