Choose the appropriate method to represent the following set: (1) the set composed of all real number roots of the equation x (x2-2x-3) = 0; (2) rational numbers greater than 2 and less than 6; (3) the set composed of points on the line y = - x + 4 whose abscissa and ordinate are natural numbers | Math enthusiast | Mathematical art

Choose the appropriate method to represent the following set: (1) the set composed of all real number roots of the equation x (x2-2x-3) = 0; (2) rational numbers greater than 2 and less than 6; (3) the set composed of points on the line y = - x + 4 whose abscissa and ordinate are natural numbers

(1) From X (x2-2x-3) = 0, we get x = - 1 or x = 0 or x = 3, so we use enumeration method to express the solution set as {- 1, 0, 3}; (2) use description method to express {x | 2 ＜ x ＜ 6, X ∈ Q}; (3) use enumeration method to express {(0, 4), (1, 3), (2, 2), (3, 1), (4, 0)}

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