The problem asks us to express the set $\{x : x \in R, 1 \le x \le 2\}$ as an interval. In other words, we want to represent all real numbers $x$ such that $x$ is greater than or equal to 1 and less than or equal to 2, using interval notation.

OtherSet TheoryInterval NotationReal NumbersInequalities
2025/3/27

1. Problem Description

The problem asks us to express the set {x:xR,1x2}\{x : x \in R, 1 \le x \le 2\} as an interval. In other words, we want to represent all real numbers xx such that xx is greater than or equal to 1 and less than or equal to 2, using interval notation.

2. Solution Steps

Since the set includes all real numbers xx such that 1x21 \le x \le 2, and the inequality signs are \le (less than or equal to), the interval will include the endpoints 1 and

2. Therefore, we use square brackets to indicate that the endpoints are included.

The interval notation will be [1,2][1, 2].

3. Final Answer

[1,2][1, 2]