a) If $$ A=\{2,3,4,5\} $$ and $$ B=\{4,5,6,7\} $$ then write i) $$ A \cap B $$ if $$ A-B $$ b) Which one of the following is equal to $$ \{x: x \in R, 2

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a) i) $$ A \cap B = \{4, 5\} $$ ii) $$ A - B = \{2, 3\} $$ b) The correct options are ii) $$ \{3,4\} $$ and iv) $$ (2,4\} $$. a) To find the intersection and the difference of the sets $$ A $$ and $$ B $$: i) The intersection $$ A \cap B $$ is the set of elements that are in both $$ A $$ and $$ B $$: $$ A \cap B = \{4, 5\} $$ ii) The difference $$ A - B $$ is the set of elements that are in $$ A $$ but not in $$ B $$: $$ A - B = \{2, 3\} $$ b) The set $$ \{x: x \in R, 2 < x \leq 4\} $$ represents all real numbers $$ x $$ such that $$ x $$ is greater than 2 and less than or equal to 4. Now, let's analyze the options: i) $$ \{2,3,4\} $$ - This includes 2, which is not in the set since $$ x $$ must be greater than 2. So, this is not correct. ii) $$ \{3,4\} $$ - This set includes all elements that satisfy $$ 2 < x \leq 4 $$. This is a correct representation. iii) $$ [2,4\} $$ - This includes 2, which is not in the set. So, this is not correct. iv) $$ (2,4\} $$ - This includes all numbers greater than 2 and up to and including 4, which is also a correct representation. Thus, the correct options are ii) $$ \{3,4\} $$ and iv) $$ (2,4\} $$.

a) If \( A=\{2,3,4,5\} \) and \( B=\{4,5,6,7\} \) then write i) \( A \cap B \) if \( A-B \) b) Which one of the following is equal to \( \{x: x \in R, 2

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a) If \( A=\{2,3,4,5\} \) and \( B=\{4,5,6,7\} \) then write i) \( A \cap B \) if \( A-B \) b) Which one of the following is equal to \( \{x: x \in R, 2

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