Find the intersection of the sets. Write the answer in interval notation.
$$( - 3,3 ] \cap ( 0,5 ]$$
A) $( 0,3 ]$
B) { }
C) $( - 3,5 ]$
D) $[ 0,3 )$

Question

Find the intersection of the sets. Write the answer in interval notation.
$$( - 3,3 ] \cap ( 0,5 ]$$
A) $( 0,3 ]$
B) {  }
C) $( - 3,5 ]$
D) $[ 0,3 )$

Quizplus · Accepted Answer

The intersection of the sets $(-3,3]$ and $(0,5]$ includes all numbers that are in both sets. Since $(-3,3]$ goes from -3 to 3 (including 3 but not -3) and $(0,5]$ goes from 0 to 5 (including 5 but not 0), the numbers that are in both sets are those from just above 0 to 3, inclusive of 3. Therefore, the correct interval notation for their intersection is $(0,3]$.

Find the Intersection of the Sets (−3,3]∩(0,5]( - 3,3 ] \cap ( 0,5 ](−3,3]∩(0,5]

Find the Intersection of the Sets $( - 3,3 ] \cap ( 0,5 ]$