3. Logic

Translate the following statements from words to symbols. Then, determine the truth value.

p: The shape is a square.  q: The shape has 4 sides.  r: The shape is a rectangle.

If the shape doesn’t have 4 sides, then it isn’t a rectangle.

Translate the following statements from symbols to words.

p: It is warm. q: I wear sandals.  r: I eat ice cream.

~q→p

Translate the following statements from words to symbols. Then, determine the truth value.

p: The shape is a square. q: The shape has 4 sides. r: The shape is a rectangle.

If the shape has 4 sides, then it is not a rectangle.

Translate the following statements from symbols to words.

p: It is warm. q: I wear sandals.  r: I eat ice cream.

(p Λ q)→r

Translate the following statements from symbols to words.

p: It is warm. q: I wear sandals. r: I eat ice cream.

q→(p V r)

Translate the following statements from words to symbols. Then, determine the truth value.

p: The shape is a square. q: The shape has 4 sides. r: The shape is a rectangle.

The shape is a square or rectangle if it has 4 sides.

Translate the following statements from words to symbols. Then, determine the truth value.

p: The shape is a square. q: The shape has 4 sides. r: The shape is a rectangle.

If the shape is a square or a rectangle, then it has 4 sides.

Translate the following statements from symbols to words.

p: It is warm. q: I wear sandals.  r: I eat ice cream.

~q→~r