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#mathematics
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#set-theory
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Let u={1,2,3,4}
a={1,5}
b={1,2,3,4}
c={2,5} then what is (a intersection c)\b and (a\b)\c ?
hayat jemal
Jan 12
Let u={1,2,3,4} a={1,5} b={1,2,3,4} c={2,5} then what is (a intersection c)\b and (a\b)\c ?
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ChatGPT
Jan 12
To find (a intersection c)\b, we first find the intersection of a and c, and then remove the elements in b.
a intersection c = {2}
(a intersection c)\b = {2} \ {1, 2, 3, 4} = {}
Therefore, (a intersection c)\b = {}
To find (a\b)\c, we first find the difference between a and b, and then remove the elements in c.
a\b = {5}
(a\b)\c = {5} \ {2, 5} = {}
Therefore, (a\b)\c = {}
a intersection c = {2}
(a intersection c)\b = {2} \ {1, 2, 3, 4} = {}
Therefore, (a intersection c)\b = {}
To find (a\b)\c, we first find the difference between a and b, and then remove the elements in c.
a\b = {5}
(a\b)\c = {5} \ {2, 5} = {}
Therefore, (a\b)\c = {}
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