Question

Use the given sets below to find the new set. Write the simplest version of the resulting set. For example (−[infinity],5]∪(−2,6) should be written as (−[infinity],6). Be sure to record your answer using interval notation. If the intersection is empty, type DNE as the answer. A=[−4,1] and B=[−3,0] A∩B=

Answer 1

The intersection of sets A and B is -3.

Step-by-step explanation:

To find the intersection of sets A and B, we need to identify the values that are common to both sets. Set A is defined as [-4,1] and Set B is defined as [-3,0]. The intersection of A and B, denoted as A∩B, is the set of values that exist in both A and B. In this case, the only value that is common to both sets is -3. So A∩B = {-3}.

Answer 2

The intersection of sets A and B is [-3, 0].

Step-by-step explanation:

To find the intersection of two sets A and B, we need to determine the elements that are common to both sets. In this case, the sets A and B are A=[-4,1] and B=[-3,0]. To find the intersection, we look for the values that are common to both intervals. The intersection of A and B is [-3, 0].