["reflexive", "symmetric", "antisymmetric", "transitive"]
Khan.randRange(0,3)
Khan.randRange(0,6)
["Relation isBrotherOf on the set of people " ,
"Relation isFatherOf on the set of people ",
"Relation " + katex.renderToString("R = \\{ \\langle x, y \\rangle \\ | \\ x^2 + y^2 = 1\\}")
+ " for real numbers " + katex.renderToString("x") + " and " + katex.renderToString("y"),
"Relation " + katex.renderToString("R = \\{ \\langle x, y \\rangle \\ | \\ x^2 = y^2\\}")
+ " for real numbers " + katex.renderToString("x") + " and " + katex.renderToString("y"),
"Relation " + katex.renderToString("R = \\{ \\langle x, y \\rangle \\ | \\ x \\% y = 0\\}")
+ " for " + katex.renderToString("x, y \\in {1,2,3,4}"),
"Empty relation " + katex.renderToString("\\emptyset")
+ " (i.e., the relation with no ordered pairs for which it is true) on the set of integers ",
"Empty relation " + katex.renderToString("\\emptyset")
+ " (i.e., the relation with no ordered pairs for which it is true) on the empty set "]
[ ["False", "False", "False", "True"],
["False", "False", "True", "False"],
["False", "True", "False", "False"],
["True", "True" , "False", "True"],
["True", "False", "True", "True"],
["False", "True", "True", "True"],
["True", "True", "True", "True"] ]
"R = {< x, y > | x mod y = 0}"
Answer TRUE or FALSE.
CHOICES[CHOICESINDEX] is RELTYPE[RELTYPEINDEX]
ANSWER[CHOICESINDEX][RELTYPEINDEX]
A relation is reflexive if element A holds the
relationship with itself for all values a in the
set.
A relation is symmetric if every time that a is
related to b, then b is also
related to a.
A relation is antisymmetric if everytime that a is
related to b, then b is not
related to a.
A relation is transitive if everytime that a is
related to b and also b is related
to c, then a is related
to c.