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## What is the formula for a intersection B intersection C?

A∩(B∪C)=(A∩B)∪(A∩C); A∪(B∩C)=(A∪B)∩(A∪C).

## How do you represent a union B intersection in C in Venn diagram?

We have to represent A⋃(B⋂C). B⋂C represents common elements of sets B and C. The union of two sets A and B is defined as the set of all the elements which lie in set A and set B or both the elements in A and B altogether. The union of the set is denoted by the symbol ‘∪’.

**How do you prove if and only if statements?**

Since an “if and only if” statement really makes two assertions, its proof must contain two parts. The proof of “Something is an A if and only if it is a B” will look like this: Let x be an A, and then write this in symbols, y = 2K for some whole number K. We then look for a reason why y should be even.

### How is BNC resistance measured?

– The resistance Rp is obtained by measuring with the tips of a multimeter between the center pin and the connector housing and it will also be very high. So either connector, 50 or 75 ohms, is transparent to DC voltages.

### Is (a-B) intersection (B-C) = empty set?

The above are mutually exclusive, so our premise that (A-B) intersection (B-C) is not empty was false. It follows that (A-B) intersection (B-C) = empty set. The Rock reveals the key to success for normal people.

**What is the complement of B intersect C?**

The complement of B intersect C is equal to the union of the complements of B and C. In order to prove this statement in set theory, you’ll use the corresponding statement in logic. The negation of a conjunction is the disjunction of the negations, symbolically, ¬ ( P ∧ Q) ⟺ ¬ P ∨ ¬ Q. Here are the details.

## How do you prove the complement of a conjunction?

The complement of B intersect C is equal to the union of the complements of B and C. In order to prove this statement in set theory, you’ll use the corresponding statement in logic. The negation of a conjunction is the disjunction of the negations, symbolically, ¬ ( P ∧ Q) ⟺ ¬ P ∨ ¬ Q.

## Is the Union of $A$ and $B$ A subset of $C$?

If $A$ is a subset of $C$ and $B$ is a subset of $C$, then the union of $A$ and $B$ is a subset of $C$ Ask Question Asked6 years, 11 months ago