**Problem : **
State the negation of the following statement:

Adrian loves rice.

Adrian does not love rice.

**Problem : **
State the negation of the following statement:

The horse is not brown.

The horse is brown.

**Problem : **
Given the following two statements,
*p*
and
*q*
, write their conjunction,
disjunction, and the implication "if
*p*
, then
*q*
."

*p*
: The painting is colorful

*q*
: The painting is pretty

conjunction: The painting is colorful and the painting is pretty.

disjunction: The painting is colorful or the painting is pretty.

implication: If the painting is colorful, then the painting is pretty.

**Problem : **
Given the following two statements,
*p*
and
*q*
, write their conjunction,
disjunction, and the
implication "if
*p*
, then
*q*
."

*p*
: Two lines form a right angle.

*q*
: Two lines are perpendicular.

conjunction: Two lines form a right angle and two lines are perpendicular.

disjunction: Two lines form a right angle or two lines are perpendicular.

implication: If two lines form a right angle, then two lines are perpendicular.

**Problem : **
Given the following two statements,
*p*
and
*q*
, write their conjunction,
disjunction, and the
implication "if
*p*
, then
*q*
."

*p*
: Frank is a doctor.

*q*
: The birds sing.

comjunction: Frank is a doctor and the birds sing.

disjunction: Frank is a doctor or the birds sing.

implication: If Frank is a doctor, then the birds sing.