consider the conditional statement:

if it is monday, then ill go to school.

match each statement to the correct variation of the conditional statement.

- if i dont go to school, then it is not monday.
- if i go to school, then it is monday.
- if it is not monday, then i will not go to school.

a. inverse
b. converse
c. contrapositive

Question

consider the conditional statement:

if it is monday, then ill go to school.

match each statement to the correct variation of the conditional statement.

- if i dont go to school, then it is not monday.
- if i go to school, then it is monday.
- if it is not monday, then i will not go to school.

a. inverse
b. converse
c. contrapositive

Accepted Answer

{ "quality": "clear", "question_count": 3, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Converse Inverse Contrapositive" ], "new_concepts": [], "current_concepts": [ "Conditional Statements", "Converse Inverse Contrapositive" ] } ## Define the symbolic components of the conditional statement $$ \begin{aligned} &p: \text{"It is Monday"} \ &q: \text{"I'll go to school"} \ &\text{Original statement } (p ightarrow q): \text{"If it is Monday, then I'll go to school."} \end{aligned} $$ ## Define the variations of the conditional statement $$ \begin{aligned} &\text{Converse } (q ightarrow p): \text{"If I go to school, then it is Monday."} \ &\text{Inverse } ( eg p ightarrow eg q): \text{"If it is not Monday, then I will not go to school."} \ &\text{Contrapositive } ( eg q ightarrow eg p): \text{"If I don't go to school, then it is not Monday."} \end{aligned} $$ ## Match each given statement to its variation $$ \begin{aligned} &\text{"If I don't go to school, then it is not Monday."} ightarrow \text{c. contrapositive} \ &\text{"If I go to school, then it is Monday."} ightarrow \text{b. converse} \ &\text{"If it is not Monday, then I will not go to school."} ightarrow \text{a. inverse} \end{aligned} $$ | Statement | Variation | |---|---| | "If I don't go to school, then it is not Monday." | c. contrapositive | | "If I go to school, then it is Monday." | b. converse | | "If it is not Monday, then I will not go to school." | a. inverse | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Converse Inverse Contrapositive" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Define the symbolic components of the conditional statement

Define the variations of the conditional statement

Match each given statement to its variation

Answer:

Statement	Variation
"If I go to school, then it is Monday."	b. converse
"If it is not Monday, then I will not go to school."	a. inverse