Question

Consider sets R, S, and T, defined as follows: R = { x ϵ Z | x is divisible by 2 }S = { y ϵ Z | y is divisible by 3 }T = { z ϵ Z | z is divisible by 6 }a) Is R ⊆ T? Explain.b) Is T ⊆ R? Explain.c) Is T ⊆ S? Explain.

Answer 1

Answer:a) No b)Yes c) No

Step-by-step explanation:

a) No, R is not a subset of T that is NOT ALL the elements of R can be found in T. For R ⊆ T, it means that ALL the element of R can be found in T which is false in this case.

b) Yes, T is a subset of R that is ALL the element of T can be found in T since all the elements in both sets are all even. For T ⊆ R, it means that ALL the element of T can be found in R

c) No, T is not a subset of S that is NOT ALL the elements of T can be found in S. For T ⊆ S, it means that ALL the element of T can be found in S which is false in this case.