What will be the set of the interval (a, b]?(a) {x: a < x < b}(b) {x: a ≤ x ≤ b}(c) {x: a < x ≤ b}(d) {x: a ≤ x < b}I got this question in semester exam.Origin of the question is Sets and their Representations in division Sets of Mathematics – Class 11

What will be the set of the interval (a, b]?(a) {x: a < x < b}(b) {x:

1.	What will be the set of the interval (a, b]?(a) {x: a < x < b}(b) {x: a ≤ x ≤ b}(c) {x: a < x ≤ b}(d) {x: a ≤ x < b}I got this question in semester exam.Origin of the question is Sets and their Representations in division Sets of Mathematics – Class 11
Answer» CORRECT choice is (c) {x: a < x ≤ b} To EXPLAIN I would say: The symbol ( ) implies that the value will always be LESS than or greater than the x value i.e. end points are not included. { } implies that all the values that does not satisfy a given interval are included inside {}. [ ] implies that the value will always be less than EQUAL to or greater than equal to the x value i.e. end points are included. This is possible only when both a and b are finite.

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What will be the set of the interval (a, b]?(a) {x: a < x < b}(b) {x: a ≤ x ≤ b}(c) {x: a < x ≤ b}(d) {x: a ≤ x < b}I got this question in semester exam.Origin of the question is Sets and their Representations in division Sets of Mathematics – Class 11

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