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{
"source_file": "./raw_volume-zh/volume1/exercise2.tex",
"problem_type": "calculation",
"problem": "问题2 已知全集 $I=\\mathbf{Z}, M=\\{x \\mid x=2 n, n \\in \\mathbf{Z}\\}, S=\\{x \\mid x=3 n, n \\in \\mathbf{Z}\\}$, 则 $M \\cap \\complement_{\\mathrm{z}} S=$",
"solution": "$\\{x \\mid x=6 n \\pm 2, n \\in \\mathbf{Z}\\} . M=\\{x \\mid x=6 n, 6 n+2,6 n+4, n \\in \\mathbf{Z}\\}$, $S=\\{x \\mid x=6 n, 6 n+3, n \\in \\mathbf{Z}\\}$, 于是 $M \\cap \\complement_{\\mathbf{Z}} S=\\{x \\mid x=6 n \\pm 2, n \\in \\mathbf{Z}\\}$.",
"remark": "",
"figures": []
} |