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Class 12 · Mathematics
→If (A={1,2,3,4}) and (R={(a,b):a\le b}), why is (R) not symmetric?
Class 12 · Mathematics
→If (A={1,2,3}) and (R={(a,b):a+b\text{ is even}}), choose the correct statement about (R).
Class 12 · Mathematics
→How many symmetric relations can be formed on A={1,2,3}?
Class 12 · Mathematics
→If (A={1,2,3,4}) and (R={(1,1),(2,2),(3,3),(4,4),(1,3),(3,1),(2,4)}), which ordered pair must be added at minimum to make (R) symmetric?
Class 11 · Political Science
→How is the relationship between government and power understood in political theory?
Class 11 · Political Science
→Why does political theory discuss the relationship between society and the individual?
Class 11 · Political Science
→How can the relationship between rights and liberty be understood in political theory?
Class 12 · Mathematics
→If (A={1,2,3}) and (R={(1,1),(2,2),(1,2),(2,1),(2,3),(3,2)}), which property does (R) definitely have?
Class 12 · Mathematics
→On (A={1,2,3,4}), how many symmetric relations must contain ((1,2)) and must not contain ((3,4))?
Class 12 · Mathematics
→Which statement is true for a symmetric relation but generally not true for an antisymmetric relation?
Class 12 · Mathematics
→If a relation (R) contains ((1,2),(2,1),(2,3),(3,2),(1,3)) and no other off-diagonal pair, what is necessary for symmetry?
Class 12 · Mathematics
→On (A={1,2,3,4}), relation (R={(a,b):a+b=5}) is defined. Is (R) symmetric?
Class 12 · Mathematics
→On (A={1,2,3}), how many symmetric relations contain exactly one diagonal pair?
Class 12 · Mathematics
→If (R) is symmetric, then (R\cap R^{-1}) is equal to which of the following?
Class 12 · Mathematics
→For any relation R, which statement about R∪R⁻¹ is always true?
Class 12 · Mathematics
→On (A={1,2,3,4}), relation (R={(a,b):a\cdot b\text{ is even}}) is defined. Choose the correct statement about (R).
Class 12 · Mathematics
→If (R) is a symmetric relation and it has (7) pairs in total, what is correct about the number of off-diagonal pairs?
Class 12 · Mathematics
→A relation (R) on a set (A) is symmetric. If ((x,y)\notin R), which statement is definitely true?
Class 12 · Mathematics
→Which is the smallest symmetric relation on (A={1,2,3}) containing ((1,2)) and ((2,3))?
Class 12 · Mathematics
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