Question

state the following sets are singleton or infinite set. S={y|y is a cube root of 125}​

Answer 1

Answer:

singleton set s={5}

Step-by-step explanation:

may it help you

Answer 2

SOLUTION

TO DETERMINE

State the following sets are singleton or infinite set.

S = { y | y is a cube root of 125 }

EVALUATION

We know that set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole

A set can be represented in following ways

(i) Statement form method

(ii) Roster or tabular form method

(iii) Rule or set builder form method

Here the given set is

S = { y | y is a cube root of 125 }

Now

$\sf \sqrt[3]{125}$

$\sf = \sqrt[3]{5 \times 5 \times 5}$

$\sf = \sqrt[3]{ {5}^{ 3} }$

$\sf = 5$

Thus we have S = { 5 }

The set S contains only one element

We know that if a set contains only one element then the set is said to be singleton set

So S is a singleton set

FINAL ANSWER

S is a singleton set

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