List All Subsets of the Given Set $$\{ b , e , h \}$$

question 168

Multiple Choice

List all subsets of the given set. Identify any of the subsets that are improper. $$\{ b , e , h \}$$

• A) \(\varnothing , \{ b \} , \{ e \} , \{ h \} , \{ b , e \} , \{ b , h \} , \{ e , h \} , \{ b , e , h \}\) Improper subsets: \(\varnothing\)
• B) \(\{ b \} , \{ e \} , \{ h \} , \{ b , e \} , \{ b , h \} , \{ e , h \} , \{ b , e , h \}\) Improper subsets: \(\{ b \} , \{ e \} , \{ h \}\)
• C) \(\varnothing , \{ b \} , \{ e \} , \{ h \} , \{ b , e \} , \{ e , h \} , \{ b , e , h \}\) Improper subsets: \(\varnothing , \{ b \} , \{ e \} , \{ h \} , \{ b , e \} , \{ b , h \} , \{ e , h \}\)
• D) \(\{ b \} , \{ e \} , \{ h \} , \{ b , e \} , \{ e , h \} , \{ b , e , h \}\) Improper subsets: \(\{ b \} , \{ e \} , \{ h \} , \{ b , e \} , \{ b , h \} , \{ e , h \}\)
• E) \(\varnothing , \{ b \} , \{ e \} , \{ h \} , \{ b , e \} , \{ b , h \} , \{ e , h \} , \{ b , e , h \}\) Improper subsets: \(\{ b , e , h \}\)

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Definitions:

Researching Grapes

A focused study or examination related to grape varieties, cultivation techniques, or the impact of environmental factors on grape production, often for winemaking purposes.

Wine Barrel

A cylindrical container typically made of oak wood used for the aging, fermentation, or storage of wine, imparting flavors and aiding in the wine's development.

Upstream Cost

Costs incurred before the production process begins, typically involving raw material acquisition and preparation.

Wine Barrels

Large containers traditionally made of oak, used for aging wine and imparting flavors during the winemaking process.