Question

Which of the following is true for Σ={x}

a)Σ*= {Λ, x, xx, xxx, ...}
b) Σ*= { x, xx, xxx, ...}
c) Σ= {Λ, x, xx, xxx, ...}

Answer 1

The correct answer is a) Σ*= {Λ, x, xx, xxx, ...}. Option a) satisfies the definition of Σ* by including all possible concatenations of the given element x.

Step-by-step explanation:

The correct answer is a) Σ*= {Λ, x, xx, xxx, ...}.

The symbol Σ represents the sum of a sequence of elements. The notation Σ* denotes the set of all possible concatenations of elements from the given set Σ. In this case, Σ={x}, so Σ* would include the empty string (Λ) as well as strings consisting of one or more x's, such as x, xx, xxx, and so on.

Option a) Σ*= {Λ, x, xx, xxx, ...} satisfies this definition and includes all possible concatenations of x, making it the correct answer.