Question

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

Answer 1

INFORMATION:

We have the next two sets

`A=(-\infty,2\rbrack,B=(-10,\infty)`

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

`(-10,2\rbrack`

ANSWER:

(-10, 2]