Which is the roster form of W = {x : x ∈ Z, −4 < x < 4, x is even}?
Answer and explanation
Correct answer: W = {−2, 0, 2}
First list the integers strictly between −4 and 4: −3, −2, −1, 0, 1, 2, and 3. From this list, select the even integers. They are −2, 0, and 2. The endpoints −4 and 4 are excluded because the inequalities are strict. Also, zero is even because it is divisible by 2. Therefore option B is the correct roster form.
Frequently asked questions
What is the correct answer to this question?
W = {−2, 0, 2}
Why is this the correct answer?
First list the integers strictly between −4 and 4: −3, −2, −1, 0, 1, 2, and 3. From this list, select the even integers. They are −2, 0, and 2. The endpoints −4 and 4 are excluded because the inequalities are strict. Also, zero is even because it is divisible by 2. Therefore option B is the correct roster form.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
