Question

Union and intersection of intervals​

Answer 1

Answer:

Step-by-step explanation:

Union and intersection of intervals​

We are given the following intervals:

$\mathbf{E}=\{x\mid x$

$\mathbf{F}=\{x\mid x \ge 9\}$

We need to find the union and the intersection of the intervals.

Both intervals are represented in the number line as shown in the figure below.

The union of intervals is the set of elements that belong to any of the intervals.

Since both intervals have no common area:

$E\cup F=(-\infty,1)\cup [9,+\infty)$

The intersection of intervals is the set of elements that belong to all the intervals.

As pointed above, there is no common area, thus the intersection is empty

$E\cap F=\o$