Question

Given the statements, determine the converse, inverse, and contrapositive.

p: I attend an acting class.

q: It is Wednesday.


Statement Variations Symbolic Statement English Translation
Converse q → p If it is Wednesday, then I attend an acting class.
Inverse ∼ p → ∼ q If I do not attend an acting class, then it is not Wednesday.
Contrapositive ∼ q → ∼ p If it is not Wednesday, then I do not attend an acting class.

Statement Variations Symbolic Statement English Translation
Converse q → p If it is Wednesday, then I attend an acting class.
Inverse ∼ p → ∼ q If I do not attend an acting class, then it is not Wednesday.
Contrapositive ∼ q → ∼ p If I attend an acting class, then it is Wednesday.

Statement Variations Symbolic Statement English Translation
Converse q → p If it is Wednesday, then I attend an acting class.
Inverse ∼ p → ∼ q If I attend an acting class, then it is Wednesday.
Contrapositive ∼ q → ∼ p If it is not Wednesday, then I do not attend an acting class.

Statement Variations Symbolic Statement English Translation
Converse q → p If I attend an acting class, then it is Wednesday.
Inverse ∼ p → ∼ q If I do not attend an acting class, then it is not Wednesday.
Contrapositive ∼ q → ∼ p If it is not Wednesday, then I do not attend an acting class.

Answer 1

@toga @oliver69

Answer 2

For the given statements:

p: I attend an acting class.

q: It is Wednesday.

The converse of this statement would be:

q → p: If it is Wednesday, then I attend an acting class.

The inverse of this statement would be:

∼ p → ∼ q: If I do not attend an acting class, then it is not Wednesday.

The contrapositive of the statement would be:

∼ q → ∼ p: If it is not Wednesday, then I do not attend an acting class.