Please explain into details showing in details all steps involved to arrive at the final answer. I am trying to understand the steps. Thank you very much. Use set-builder notation to describe the following sets of positive integers: (a) {2, 3, 4, 5} (b) {10, 100, 1000, 10000} (c) {2, 3, 5, 7, 11, 13, . . .}
Please explain into details showing in details all steps involved to arrive at the final answer. I am trying to understand the steps. Thank you very much.
Use set-builder notation to describe the following sets of positive integers:
(a) {2, 3, 4, 5}
(b) {10, 100, 1000, 10000}
(c) {2, 3, 5, 7, 11, 13, . . .}
Set-builder notation is a mathematical notation used to define a set of elements in a concise and compact manner. It consists of two parts:
- A variable representing the elements of the set.
- A condition or property that the elements must satisfy to be part of the set.
The notation is written as follows:
{ x | P(x) }, where x is the variable and P(x) is the condition or property that the elements must satisfy.
For example, the set of positive integers can be defined using set-builder notation as:
{ x | x ∈ Z^+ }, where Z^+ represents the set of positive integers.
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