Write the set as a single interval.
-$( - \infty , 5 ) \cap ( - 6,8 ) \cap [ 1,6 ]$
A) $( - \infty , 8 )$
B) $[ 1,5 )$
C) $[ 1,6 ]$
D) $( - 6,5 )$

Question

Quizplus · Accepted Answer

The intersection of these sets is the set of all numbers that are in all three sets simultaneously. The first set $(- \infty, 5)$ includes all numbers less than 5. The second set $(-6, 8)$ includes all numbers between -6 and 8, and the third set $[1, 6]$ includes all numbers from 1 to 6, inclusive. The only numbers that are in all three sets are those from 1 to just before 5, hence the interval $[1, 5)$.

Write the Set as a Single Interval (−∞,5)∩(−6,8)∩[1,6]( - \infty , 5 ) \cap ( - 6,8 ) \cap [ 1,6 ](−∞,5)∩(−6,8)∩[1,6]

Write the Set as a Single Interval $( - \infty , 5 ) \cap ( - 6,8 ) \cap [ 1,6 ]$