Find the intersection of the given intervals.
-$$( - \infty , 10 ) \cap [ - 5,16 )$$
A) $( - \infty , - 5 ]$
B) $( 10,16 )$
C) $( - \infty , 16 )$
D) $[ - 5,10 )$

Question

Quizplus · Accepted Answer

The intersection of the intervals $( - \infty , 10 )$ and $[ - 5,16 )$ is the set of all numbers that are in both intervals. This is the interval from $-5$ (inclusive, because $-5$ is included in the second interval) to $10$ (exclusive, because $10$ is not included in the first interval). Therefore, the correct answer is $[ - 5,10 )$.

Find the Intersection of the Given Intervals (−∞,10)∩[−5,16)( - \infty , 10 ) \cap [ - 5,16 )(−∞,10)∩[−5,16)

Find the Intersection of the Given Intervals $( - \infty , 10 ) \cap [ - 5,16 )$