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Write the following as intervals : (i) ...

Write the following as intervals :
(i) `{x : x in R, -4 lt x le 6}`
(ii) `{x : x in R, -12 lt x lt -10}`
(iii) `{x : x in R, 0 le x lt 7}`
(iv) `{x : x in R, 3 le x le 4}`.

Text Solution

AI Generated Solution

To convert the given set notation into interval notation, we will analyze each part step by step. ### Solution: **(i)** For the set `{x : x in R, -4 < x ≤ 6}`: 1. The inequality states that \( x \) is greater than \(-4\) and less than or equal to \(6\). 2. This means that \(-4\) is not included in the interval (open interval) and \(6\) is included (closed interval). ...
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