设集合A={x|-7≤2x-1≤7},B={x|m-1≤x≤3m-2}设集合A={x | -7 ≤2x-1≤ 7 },B={ x | m-1 ≤ x ≤ 3m-2 }当m=3 求A∪(CRB)
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![设集合A={x|-7≤2x-1≤7},B={x|m-1≤x≤3m-2}设集合A={x | -7 ≤2x-1≤ 7 },B={ x | m-1 ≤ x ≤ 3m-2 }当m=3 求A∪(CRB)](/uploads/image/z/6936345-9-5.jpg?t=%E8%AE%BE%E9%9B%86%E5%90%88A%3D%7Bx%7C-7%E2%89%A42x-1%E2%89%A47%7D%2CB%3D%7Bx%7Cm-1%E2%89%A4x%E2%89%A43m-2%7D%E8%AE%BE%E9%9B%86%E5%90%88A%3D%7Bx+%7C+-7+%E2%89%A42x-1%E2%89%A4+7+%7D%2CB%3D%7B+x+%7C+m-1+%E2%89%A4+x+%E2%89%A4+3m-2+%7D%E5%BD%93m%3D3+%E6%B1%82A%E2%88%AA%EF%BC%88CRB%EF%BC%89)
设集合A={x|-7≤2x-1≤7},B={x|m-1≤x≤3m-2}设集合A={x | -7 ≤2x-1≤ 7 },B={ x | m-1 ≤ x ≤ 3m-2 }当m=3 求A∪(CRB)
设集合A={x|-7≤2x-1≤7},B={x|m-1≤x≤3m-2}
设集合A={x | -7 ≤2x-1≤ 7 },B={ x | m-1 ≤ x ≤ 3m-2 }
当m=3 求A∪(CRB)
设集合A={x|-7≤2x-1≤7},B={x|m-1≤x≤3m-2}设集合A={x | -7 ≤2x-1≤ 7 },B={ x | m-1 ≤ x ≤ 3m-2 }当m=3 求A∪(CRB)
A={x | -7 ≤2x-1≤ 7 },
-7+1≤2x≤7+1
-3≤x≤4
A=[-3,4]
B={ x | m-1 ≤ x ≤ 3m-2 }
m=3
2≤x≤7
B=[2,7]
CRB=(-∞,2)U(7,+∞)
所以
A∪(CRB)==(-∞,4)U(7,+∞)
A={x|-7≤2x-1≤7}={x|-3≤x≤4}
m=3
所以B={x|m-1≤x≤3m-2}={x|2≤x≤7}
所以CrB={x|x<2或x>7}
故A∪(CrB)={x|x≤4或x>7}