Question

Given that S = { a, b, c, d , e } and T = { a, c, e }, then one of these is untrue

a. T is a subset of S

b. T⊆S

c. S≠T

d. S⊆T

Answer 1

Answer on Question #51202 – Math – Set Theory

Given that $S = \{a, b, c, d, e\}$ and $T = \{a, c, e\}$, then one of these is untrue

a. T is a subset of S

b. T ⊆ S

c. S ≠ T

d. S ⊆ T

Solution

a. T is a subset of S. It means that S includes all elements of T. It is **true**, because S also has elements a, c and e.

b. T ⊆ S. It means that T is a subset of S. It is the same as case a. **True**.

c. S ≠ T. It means that S and T consist of different elements. It is **true**, because S has elements b and d, which are not elements of T.

d. S ⊆ T. It means that T includes all elements of S. It is **false**, because T doesn’t contain elements b and d.

Answer: d. S ⊆ T is not true.

www.AssignmentExpert.com