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Class 10MathematicsSetsThe Empty Set, many more. Step 3: Hence the set is infinite.MediumLevel 7

If A = (1, 5] and B = [5, 9), what is A ∩ B?

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Answer and explanation

Correct answer: {5}

Set A contains all numbers greater than 1 up to and including 5. Set B contains all numbers from 5, including 5, up to but not including 9. The only number common to both sets is 5. Hence their intersection is the singleton set {5}, not an interval extending on either side of 5.

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setsintersectionsingleton setinterval endpointsThe Empty Setmany more. Step 3: Hence the set is infinite.the empty set many more step 3 hence the set is infiniteMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{5}

Why is this the correct answer?

Set A contains all numbers greater than 1 up to and including 5. Set B contains all numbers from 5, including 5, up to but not including 9. The only number common to both sets is 5. Hence their intersection is the singleton set {5}, not an interval extending on either side of 5.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, many more. Step 3: Hence the set is infinite..

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