Answer:
c. the empty set
Step-by-step explanation:
set of {x | x < - 5} n {x | x > 5}
The set x < - 5 comprises of real numbers that are less than -5;
(-6, -7, -8, -9, -10, -11, ......)
On the other hand, the set x > 5 comprises of real numbers greater than 5;
(6, 7, 8, 9, 10, 11, ......)
Clearly, the intersection of the above sets is empty, in that the intersection has no elements.
Therefore, {x | x < - 5} n {x | x > 5} is an empty or null set
Answer:
The solution set empty set or null set ⇒ answer c
Step-by-step explanation:
* Lets study the meaning of the inequality
- If a < x < b, that means the value of x is between a and b
- If a ≤ x ≤ b, that means the value of x is from a to b
- If x < a and x > b, that means the value of x is smaller than a and
grater than b
- If x ≤ a and x ≥ b, that means the value of x is smaller than or equal a and
grater than or equal b
* Now lets solve the problem
∵ {x I x < -5}
∴ x is smaller than -5
∵ {x I x > 5}
∴ x is greater than 5
∵ {x I x < -5} ∩ {x I x > 5}
- The meaning of ∩ is the common numbers between the
two sets, but there is no common numbers between the
two sets
∴ {x I x < -5} ∩ {x I x > 5} = { }
∴ The solution set empty set or null set
