Find the intersection of the sets. Write the answer in interval notation. $[ - 1,4 ) \cap ( 1,6 ]$
A) $( - \infty , \infty )$
B) $[ - 1,6 ]$
C) $( 1,4 )$
D) { }

Question

Find the intersection of the sets. Write the answer in interval notation. $[ - 1,4 ) \cap ( 1,6 ]$
A) $( - \infty , \infty )$
B) $[ - 1,6 ]$
C) $( 1,4 )$
D) {  }

Quizplus · Accepted Answer

The intersection of $[ - 1,4 )$ and $( 1,6 ]$ is the set of all numbers that are in both intervals. Since $[ - 1,4 )$ includes numbers from -1 up to but not including 4, and $( 1,6 ]$ includes numbers greater than 1 up to and including 6, the intersection is $( 1,4 )$, which includes all numbers greater than 1 and less than 4.

Find the Intersection of the Sets [−1,4)∩(1,6][ - 1,4 ) \cap ( 1,6 ][−1,4)∩(1,6]

Find the Intersection of the Sets $[ - 1,4 ) \cap ( 1,6 ]$