Answer:
1. The set R ∪ S is the set of things that:
* have wheels or have engines
2. The set R ∩ S is the set of things that
:
* have wheels and have engines
3. The set R′ is the set of things that
:
* don't have wheels but do have engines
Step-by-step explanation:
Let's complete the sentences:
1. The set R ∪ S is the set of things that:
* have wheels or have engines
Let's recall that the union of two sets, R and S for our case, is the set of elements which are in R or in S or in both.
2. The set R ∩ S is the set of things that
:
* have wheels and have engines
Let's recall that the intersection of two sets, R and S, is the set of elements that are common to both R and S.
3. The set R′ is the set of things that
:
* don't have wheels but do have engines
Let's recall that the complement of a set, R is the set of all elements that are in the universal set but are not in R. R' = {x ∈ U : x ∉ R}.
Our universal set is the set of things that have wheels or have engines and the complement of R is the set of things that don't have wheels but do have engines.
