Cho tập hợp A=[−3;2). Phần bù của tập A trong R là
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Ta có $A=[-3;2)$.
Vậy $C_{\mathbb{R}}A = \mathbb{R} \setminus A = \left( -\infty ;-3 \right)\cup \left[ 2;+\infty \right)$
Vì $A = [-3; 2)$ nên $C_{\mathbb{R}}A = (-\infty; -3) \cup [2; +\infty)$. Đáp án đúng là $\left( -\infty ;-3 \right)\cup \left[ 2;+\infty \right).$ Tuy nhiên, đáp án này không có trong các lựa chọn.
Ta cần tìm phần bù của $A=[-3;2)$ trong $\mathbb{R}$.
$A=[-3;2)$ nghĩa là $A = \{x \in \mathbb{R} | -3 \leq x < 2\}$.
Phần bù của $A$ là tập hợp các số thực không thuộc $A$.
Vậy $C_{\mathbb{R}}A = \{x \in \mathbb{R} | x < -3 \text{ hoặc } x \geq 2\}$.
$C_{\mathbb{R}}A = (-\infty; -3) \cup [2; +\infty)$.
Tuy nhiên, đáp án đúng phải là $(-\infty; -3) \cup [2; +\infty)$. Trong các đáp án đã cho, đáp án gần đúng nhất là $\left( -\infty ;-3 \right]\cup \left( 2;+\infty \right).$
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