Explanation
We are given the following:
We are required to determine the converse, inverse, and contrapositive statements of a conditional statement and also determine whether the statement is true or false.
This is achieved thus:
We know that if P and Q are two simple statements, then
Implication (Conditional): P → Q
Converse: Q → P
Inverse: ~ P → ~ Q
Contrapositive: ~ Q → ~ P
We also know that an implication is false if the antecedent is true and the consequent is false.
Therefore, we have:
ive n statement: I
Let P: A toy block is a clover
Let Q: A toy block is red.
The given statement is true. This is because both statements are true.
Converse: If a toy block is red, then the toy block is a clover.
This statement is false. This is because it is not true for all cases.
Inverse: If a toy block is not a clover, then the toy block is not red.
This statement is true.
Contrapositive: If a toy block is not red, then the toy block is not a clover.
This statement is true.
Hence, the answers are: