Decide, among the following sets, which sets are subsets of one and another:
A={x:xϵR and x satisfyx2−8x+12=0},
B={2,4,6},
C={2,4,6,8,...},D={6}
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Solution
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A={x:x∈Rand x satisfiesx2−8x+12=0} 2 and 6 are the only solutions of x2−8x+12=0. ∴A={2,6} B={2,4,6} C={2,4,6,8,....} D={6} Clearly, D⊂A⊂B⊂C Hence, A⊂B,A⊂C,B⊂C,D⊂A,D⊂B,D⊂C
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Similar Questions
Q1
Decide, among the following sets, which sets are subsets of one and another:
A={x:xϵR and x satisfyx2−8x+12=0},
B={2,4,6},
C={2,4,6,8,...},D={6}
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Q2
Decide, among the following sets, which sets are subsets of one and another.: A={x:x∈R and x satisfy x2−8x+12=0} B={2,4,6},C={2,4,6,8,....},D={6}
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Q3
Decide, among the following sets, which sets are subsets of one and another: A = { x : x ∈ R and x satisfy x 2 – 8 x + 12 = 0}, B = {2, 4, 6}, C = {2, 4, 6, 8…}, D = {6}.
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Q4
Decide among the following sets, which sets are subsets of one and another:
A = {x : x ∈ R and x satisfies x2−8x+12=0},
B = {2, 4, 6}, C = {2, 4, 6, 8, .........}, D = {6}
View Solution
Q5
Decide among the following sets, which are subsets of which: A = { x:x satisfies x2−8x+12=0 } B = {2,4,6} C = {2,4,6,8,.....} D = {6}