Question

fill in the blank so that the resulting statement is true. set a is a subset of set b, expressed as ____, means that ____. choose the correct answer below. a. set a is a subset of set b, expressed as ( asubseteq b ), means that every element in set a is also an element in set b and sets a and b are not equal (( a
eq b )). b. set a is a subset of set b, expressed as ( asubseteq b ), means that every element in set a is also an element in set b. c. set a is a subset of set b, expressed as ( asubset b ), means that every element in set a is also an element in set b. d. set a is a subset of set b, expressed as ( asubset b ), means that every element in set a is also an element in set b and sets a and b are not equal (( a
eq b )).

Explanation:

The standard notation for "Set A is a subset of set B" is $A\subseteq B$, and the definition of a subset requires every element in set A to also be an element in set B. The notation $A\subset B$ refers to a proper subset (where $A
eq B$), which is not the general subset definition here.

Answer:

B. Set A is a subset of set B, expressed as A⊆B, means that every element in set A is also an element in set B.