Mathematically speaking, roster form of a set is a list of elements that are in the set.
Basically, to represent a set in roster form, we simply list the elements of the set, separated by commas, within braces.
as per the question, consider the set, S, described verbally:
S = {all prime numbers less than 15}
To write this in roster form, we would first identify all the elements in the set. Let's see. . . the integers that are strictly greater than 0 and less than or equal to 4 would be the integers that are between 0 and 4, not including 0, but including 4, so 1, 2, 3, and 4.
Now we just write these integers, separated by commas, within braces.
S = {2, 3, 5, 7, 11, 13}. So answer is option A
Set notation is a representation of a set of the form {element | properties of that element}.
To represent the inequality in set builder notation, we will first have to solve for the inequality as follows:
9t - 4 >32
Step 1: Add 4 on LHS(Left hand side) and RHS(right hand side) of the inequality.
9t > 36
Step 2: Divide LHS and RHS by 9
t > 4
This means that the inequality holds for all values of t greater than 4 i.e.
{ t | t > 4 }. so answer is option A
