Question

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

Answer 1

Answer:

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

$\{x | x > -5\} \bigcap \ \{x | x < 5\}$

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

Answer 2

Answer: The answer is D all real numbers