(A) The set $\{ x:x \in R, 3 \le x \le 4 \}$ represents all real numbers $x$ such that $x$ is greater than or equal to $3$ and less than or equal to $

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(A) The set $\{ x:x \in R, 3 \le x \le 4 \}$ represents all real numbers $x$ such that $x$ is greater than or equal to $3$ and less than or equal to $4$. Since both endpoints $3$ and $4$ are included in the set,we use closed brackets. Therefore,the interval notation is $[3, 4]$.