Question

B={w|w<2} C={w|w≤5}. BnC= BuC=

Answer 1

Part (1):
Answer:
B ∩ C = ]-∞,2[

Explanation:
We are given that:
B is defined as the set of all the values that are less than 2 (2 is excluded)
C is defined as the set of all the values that are less than or equal to 5 (5 is included)

∩ refers to the intersection between the two sets.
The intersection would be all the values less than 2 (2 is excluded). This is the same as set B

Part (2):
Answer:
B ∪ C = ]-∞,5]

Explanation:
We are given that:
B is defined as the set of all the values that are less than 2 (2 is excluded)
C is defined as the set of all the values that are less than or equal to 5 (5 is included)

∪ refers to the union of the two sets.
The union would be all the values less than 5 (5 is included). This is the same as set C

Notes:
1- The attached figure represents the number line describing the scenario given
2- From the above results, we can deduce that set B is subset of set C

Hope this helps :)