Find the intersection, An B, for of the following pair of sets. Enter "DNE" for the empty set.A = (-∞, 2], B = (-10, ∞)

INFORMATION:
We have the next two sets
[tex]A=(-\infty,2\rbrack,B=(-10,\infty)[/tex]And we must find the intersection of the two sets.
STEP BY STEP EXPLANATION:
To find the intersection of the two sets, we can represent them in the number line, to see it easier
The red line represents the set A and the blue line represents the B set. Then, the intersection of the two sets would be the common part of the sets in the number line.
We can see that the common part of the sets goes from -10 (not included) to 2 (included).
Finally, the intersection set would be
[tex](-10,2\rbrack[/tex]ANSWER:
(-10, 2]