Find the intersection of the given intervals.
-$( \infty , 10 ] \cap [ - 8 , \infty ) \cap ( \infty , 1 )$
A) $[ - 8,1 ) \cup ( 1,10 ]$
B) $( 1,10 ]$
C) $[ - 8,1 )$
D) $[ - 8,10 ]$

Question

Quizplus · Accepted Answer

The intersection of the given intervals is the set of all numbers that are in all three intervals simultaneously. The first interval $( \infty , 10 ]$ includes all numbers less than or equal to 10. The second interval $[ - 8 , \infty )$ includes all numbers greater than or equal to -8. The third interval $( \infty , 1 )$ includes all numbers less than 1. The only numbers that satisfy all three conditions are those that are greater than or equal to -8 and less than 1, which is represented by the interval $[ - 8,1 )$.

Find the Intersection of the Given Intervals (∞,10]∩[−8,∞)∩(∞,1)( \infty , 10 ] \cap [ - 8 , \infty ) \cap ( \infty , 1 )(∞,10]∩[−8,∞)∩(∞,1)

Find the Intersection of the Given Intervals $( \infty , 10 ] \cap [ - 8 , \infty ) \cap ( \infty , 1 )$