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Class 12MathematicsLinear InequalitiesAlgebraic Solution of Linear Inequalities in One VariableMediumLevel 8

How is the inequality 2 < x < 7 written in interval form?

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Answer and explanation

Correct answer: (2, 7)

The inequality 2 < x < 7 means that x is greater than 2 and less than 7. Neither endpoint is included because both inequalities are strict. In interval notation, an excluded endpoint is shown with a round bracket. Therefore, the correct interval is (2, 7), called an open interval.

Tags

interval-notationinequalitiesopen-intervalreal-numbersAlgebraic Solution of Linear Inequalities in One VariableLinear InequalitiesMathematicsClass 12 MCQ

Frequently asked questions

What is the correct answer to this question?

(2, 7)

Why is this the correct answer?

The inequality 2 < x < 7 means that x is greater than 2 and less than 7. Neither endpoint is included because both inequalities are strict. In interval notation, an excluded endpoint is shown with a round bracket. Therefore, the correct interval is (2, 7), called an open interval.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Linear Inequalities. Topic: Algebraic Solution of Linear Inequalities in One Variable.

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