Ononot — Let \chiS(x) denote the characteristic function of a set S (

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Set Theorymedium

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Let $\chi_S(x)$ denote the characteristic function of a set $S$ (where $\chi_S(x) = 1$ if $x \in S$ and $0$ if $x \notin S$ ). If $A$ and $B$ are subsets of a universal set $U$ , which set $Y$ is defined by the characteristic function $\chi_Y(x) = \chi_A(x) \cdot (1 - \chi_B(x))$ ?