elements

[logistic_guy]

List the elements of each of the following sample spaces:

\(\displaystyle \bold{(a)}\) the set of integers between \(\displaystyle 1\) and \(\displaystyle 50\) divisible by \(\displaystyle 8\)
\(\displaystyle \bold{(b)}\) the set \(\displaystyle S = \{x \ | \ x^2 + 4x - 5 = 0\}\)
\(\displaystyle \bold{(c)}\) the set of outcomes when a coin is tossed until a tail or three heads appear
\(\displaystyle \bold{(d)}\) the set \(\displaystyle S = \{x \ | \ x \ \text{is a continent} \}\)
\(\displaystyle \bold{(e)}\) the set \(\displaystyle S = \{x \ | \ 2x - 4 \geq 0 \ \text{and} \ x < 1\}\)

 

[khansaheb]

List the elements of each of the following sample spaces:

\(\displaystyle \bold{(a)}\) the set of integers between \(\displaystyle 1\) and \(\displaystyle 50\) divisible by \(\displaystyle 8\)
\(\displaystyle \bold{(b)}\) the set \(\displaystyle S = \{x \ | \ x^2 + 4x - 5 = 0\}\)
\(\displaystyle \bold{(c)}\) the set of outcomes when a coin is tossed until a tail or three heads appear
\(\displaystyle \bold{(d)}\) the set \(\displaystyle S = \{x \ | \ x \ \text{is a continent} \}\)
\(\displaystyle \bold{(e)}\) the set \(\displaystyle S = \{x \ | \ 2x - 4 \geq 0 \ \text{and} \ x < 1\}\)

Please show us what you have tried and exactly where you are stuck.

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[logistic_guy]

\(\displaystyle \bold{(a)}\) the set of integers between \(\displaystyle 1\) and \(\displaystyle 50\) divisible by \(\displaystyle 8\)

\(\displaystyle S = \{8, 16, 24, 32, 40, 48\}\)

 

[logistic_guy]

\(\displaystyle \bold{(b)}\) the set \(\displaystyle S = \{x \ | \ x^2 + 4x - 5 = 0\}\)

\(\displaystyle S = \{-5,1\}\)

 

[logistic_guy]

\(\displaystyle \bold{(c)}\) the set of outcomes when a coin is tossed until a tail or three heads appear

\(\displaystyle S = \{\text{HHH},\text{T},\text{HT},\text{HHT}\}\)

 

[logistic_guy]

\(\displaystyle \bold{(d)}\) the set \(\displaystyle S = \{x \ | \ x \ \text{is a continent} \}\)

\(\displaystyle S = \{\text{Africa, North America, South America, Asia, Europe, Australia, Antarctica}\}\)

 

[Agent Smith]

You forgot Atlantis

 

[logistic_guy]

You forgot Atlantis

It has been sold to an African billionaire and not considered a continent any more.

 

[logistic_guy]

\(\displaystyle \bold{(e)}\) the set \(\displaystyle S = \{x \ | \ 2x - 4 \geq 0 \ \text{and} \ x < 1\}\)

\(\displaystyle S = \{\emptyset\}\)

 

[Agent Smith]

It has been sold to an African billionaire and not considered a continent any more.

Your logic is a bit off. If I sell Europe to Russia, it still remains a continent, albeit now Russia

 

[logistic_guy]

Your logic is a bit off. If I sell Europe to Russia, it still remains a continent, albeit now Russia

It is not logic. It is a private property. Think of it like Pluto. It is not officially considered a planet because it has been sold to some random billionaire.