If A = [-1, 3] and B = (-2, 4), which statement is correct?
Answer and explanation
Correct answer: A ⊆ B
The interval A = [-1, 3] contains every real number from -1 through 3, including both endpoints. The interval B = (-2, 4) contains all real numbers strictly greater than -2 and strictly less than 4. Since -1 > -2 and 3 < 4, every number in A lies in B, including -1 and 3. Thus A ⊆ B. Statement D is false because 4 is excluded from B by the round bracket.
Frequently asked questions
What is the correct answer to this question?
A ⊆ B
Why is this the correct answer?
The interval A = [-1, 3] contains every real number from -1 through 3, including both endpoints. The interval B = (-2, 4) contains all real numbers strictly greater than -2 and strictly less than 4. Since -1 > -2 and 3 < 4, every number in A lies in B, including -1 and 3. Thus A ⊆ B. Statement D is false because 4 is excluded from B by the round bracket.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
