Question

Use graphs to find the set. (−3,3)∩[−2,6] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The set is . (Type your answer in interval notation.) B. The set is the empty set.

Answer 1

To find the intersection of the two intervals (-3,3) and [-2,6], we determine the overlapping region, which is [-2,3]. Therefore, the set (−3,3)∩[−2,6] = [-2,3].

Step-by-step explanation:

To find the intersection of the intervals (-3,3) and [-2,6], we need to determine the overlapping region between the two intervals.

The interval (-3,3) represents all the real numbers between -3 and 3, excluding the endpoints.

The interval [-2,6] represents all the real numbers between -2 and 6, inclusive of the endpoints.

The overlapping region between the two intervals is the intersection, and in this case, it is the interval [-2,3].

Therefore, the set (−3,3)∩[−2,6] = [-2,3].

Learn more about Intersection of Intervals