Question

List all the elements of the following set: E = {x : x is a month of a year not having 31 days}.

Answer 1

Hint: We know that there are 12 months in a year. We also know that there are 5 months that have days less than 31 days. So, we will get the answer by listing them in the set.

Complete step-by-step answer:

We have been asked in the given question to list all the elements of the given set E, which is E = {x : x is a month of a year not having 31 days}. We know that there are 12 months in a year, namely, January, February, March, April, May, June, July, August, September, October, November, and December. Out of these February has either 28 or 29 days. We have been asked to list the months that do not have 31 days. For that let us list the months according to the number of days in them. Let us first consider the months with 31 days, which are, January, March, May, July, August, October, and December. So, the remaining months, that is, April, June, September, and November will have 30 days, along with February which has 28 or 29 days.
Therefore, the required set E will be, set E = {February, April, June, September, November}.

Note: The students may read the question wrongly in a hurry as months of the year have 31 days. This will lead to a completely wrong answer. So, it is advisable to read the question thoroughly before starting with the solution.