Answer
True
Work Step by Step
Recall:
The intersection of sets A and B is the set that contains the elements that are common to both sets.
$(-\infty, 7]$ contains all the real numbers that are less than or equal to $7$.
$[7, \infty)$ contains all the real numbers that are greater than or equal to $7$.
Note that the only number common to both sets is $7$.
Thus,
$$(-\infty, 7] \cap [7, \infty)=\left\{7\right\}$$
Hence, the given statement is true.
