What is the solution set of {x | x > -5} {x | x < 5}?

all numbers except -5 and 5

the numbers between -5 and 5

the empty set

all real numbers

what is the solution set of {x | x < -5} ∩ {x | x > 5}?

all numbers less than -5 and greater than 5
the numbers between -5 and 5
the empty set
all real numbers

The numbers between -5 and 5

Step-by-step explanation:

Intersection of Intervals

Given the intervals A,B,C,etc. The intersection of them all is the set of all values that are common to all the intervals.

We must find

which is the intersection between the intervals x > -5 and x < 5. The intersection represents all the numbers greater than -5 and less than 5. It can also be said The numbers between -5 and 5 (non inclusive), third option