Question

Rewrite each set in the indicated notation. 18. (-0,3) or (5, 11); words

A) {−0,3,5,11}
B) {−0,3}∪{5,11}
C) (−0,3)∪(5,11)
D) (−0,3)∩(5,11)

Answer 1

The union of the intervals (-0,3) and (5,11) is written in set notation as (−0,3) ∪ (5,11), correctly represented by option C.

Step-by-step explanation:

The student is asking how to represent a union of two intervals using set notation. The given intervals are (-0,3) and (5,11), and the correct notation to express their union would be as a set of two intervals combined using the union operation. The correct answer is therefore:

C) (−0,3) ∪ (5,11)

This indicates that the resulting set is a union of all points that lie within either the first interval from −0 (which is equivalent to 0) up to, but not including 3, or within the second interval from 5 up to, but not including 11.