48. Let R be the set of real numbers. A subset of R, say E, is said to be open-if for every IE E, there exists r > 0, such that (x – r, x+r) is a subset of E. Then, A. En...n En is open, for every collection of open sets {E1,..., En} B. E¡ U.…U E, is open, for every collection of open sets {E1,. En} ... C. y is open D. all of the above are true
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
The question is attached in the image. It is a multiple choice question asked in an undergrad entrance exam. Please provide an intuitive solution (as it would be not possible to prove the answer during the exam) and a proof as well, if possible. Thank you.
Step by step
Solved in 2 steps with 2 images
