Finite Math Midterm 2024 (V2)

Front

What is a shaded region in a Venn diagram?

Back

A shaded region in a Venn diagram represents the elements that satisfy a particular condition or set of conditions, often indicating the union or intersection of sets.

Front

What does the conjunction 'and' signify in logic?

Back

The conjunction 'and' signifies that both statements it connects must be true for the entire statement to be true.

Front

Solve for x: 3(2x - 1) = 21.

Back

x = 4.

Front

What is the union of two sets C and D?

Back

The union of two sets C and D, denoted C ⋃ D, is the set of elements that are in either C, D, or both.

Front

Define a compound statement in logic.

Back

A compound statement is formed by combining two or more statements using logical connectors such as 'and' or 'or'.

Front

What is the difference between a conjunction and a disjunction?

Back

A conjunction requires both statements to be true, while a disjunction requires at least one statement to be true.

Front

If A = {1, 2, 3} and B = {2, 3, 4}, what is A ⋂ B?

Back

A ⋂ B = {2, 3}.

Front

What is a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions.

Front

What does the symbol '∈' represent?

Back

The symbol '∈' indicates that an element is a member of a set.

Front

How do you solve the equation 2x + 3 = 11?

Back

x = 4.