Question

given statement: if a toy block is a square, then the toy block is red. true false. assume that any toy block mentioned comes from the set. give the inverse, contrapositive, and converse of the statement. also use the table.

Explanation:

Step1: Define the original statement

Let $p$: A toy - block is a square. Let $q$: The toy - block is red. The original statement is $p
ightarrow q$.

Step2: Find the inverse

The inverse of $p
ightarrow q$ is $
eg p
ightarrow
eg q$, which is "If a toy - block is not a square, then the toy - block is not red."

Step3: Find the contrapositive

The contrapositive of $p
ightarrow q$ is $
eg q
ightarrow
eg p$, which is "If a toy - block is not red, then the toy - block is not a square."

Step4: Find the converse

The converse of $p
ightarrow q$ is $q
ightarrow p$, which is "If a toy - block is red, then the toy - block is a square."

Answer:

Inverse: If a toy - block is not a square, then the toy - block is not red.
Contrapositive: If a toy - block is not red, then the toy - block is not a square.
Converse: If a toy - block is red, then the toy - block is a square.