Let U be the set of all triangles and let E be the set of all equilateral triangles. What does the complement E′ represent?
Answer and explanation
Correct answer: Triangles in U that are not equilateral
The complement of a set is defined with respect to its universal set. Here, U contains every triangle, while E contains only the equilateral triangles. Therefore E′ = U − E consists of all triangles belonging to U that are not equilateral. It may include isosceles, scalene, and right triangles, provided they are not equilateral. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
Triangles in U that are not equilateral
Why is this the correct answer?
The complement of a set is defined with respect to its universal set. Here, U contains every triangle, while E contains only the equilateral triangles. Therefore E′ = U − E consists of all triangles belonging to U that are not equilateral. It may include isosceles, scalene, and right triangles, provided they are not equilateral. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
