Answer to Question #180875 in Discrete Mathematics for Angelie Suarez

Question

PREDICATE LOGIC:

C. Translate the following English sentence into symbol. (3 pts each)

1. No one in this class is wearing pants and a guitarist.

Let:

Domain of x is all persons

A(x): x is wearing pants

B(x): x is a guitarist

C(x): belongs to the class

Answer: __

2. No one in this class is wearing pants and a guitarist.

Let:

Domain of x is persons in this class

A(x): x is wearing pants

B(x): x is a guitarist

Answer: _____________________

3. There is a student at your school who knows C++ but who doesn’t

know Java.

Let:

Domain: all students at your school

C(x): x knows C++

J(x): x knows Java

Answer: _______

Answer 1

1. No one in this class is wearing pants and a guitarist.

Let:

Domain of x is all persons

A(x): x is wearing pants

B(x): x is a guitarist

C(x): belongs to the class

Answer: !$\exist$ x(C(x) and A(x) and B(x))

2. No one in this class is wearing pants and a guitarist.

Let:

Domain of x is persons in this class

A(x): x is wearing pants

B(x): x is a guitarist

Answer: !$\exist$x(A(x) and B(x)

3. There is a student at your school who knows C++ but who doesn’t know Java.

Let:

Domain: all students at your school

C(x): x knows C++

J(x): x knows Java

Answer: $\exist$x(C(x) and !J(x))