Question

Please answer and explain in detail

Which of the following is singleton set.

1) L = { x|x² = 36, x E 1 }

2) M = { y|y² + 5 = 2y² + 4, y E I }

3) N = { a|a E I, a³ = 27 }
​

Answer 1

Answer:

A singleton is a set which contains only one element

Step-by-step explanation:

1) x² = 36

∴ x = ±6 ∈ I

L = { -6, +6 }

2) y² + 5 = 2y² + 4

y²= 1

∴ y = ±1 ∈ I

M = {-1, 1}

3) a³ =27

∴ a = 3 ∈ I. [∵(-3)³ = -27]

N = {3}

It contains only one element

∴ N is a singleton.