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CHAPTER 2- REASONING AND PROOF. STATISTICS. Designed to boost confidence and grades!

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CHAPTER 2- REASONING AND PROOF. STATISTICS. Designed to boost confidence and grades!

Institution

REASONING AND PROOF

Course

REASONING AND PROOF

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Institution: REASONING AND PROOF
Course: REASONING AND PROOF

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Uploaded on: December 23, 2025
Number of pages: 1
Written in: 2025/2026
Type: Exam (elaborations)
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chapter 2 reasoning and proof statistics

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CHAPTER 2- REASONING AND PROOF. STATISTICS.
Designed to boost confidence and grades!
Conditional - Answer: an if-then statement

Hypothesis - Answer: the part p following if

Conclusion - Answer: the part q following then

Truth value - Answer: the statement is either true or false

Negation - Answer: the opposite of the statement

Converse - Answer: the statement obtained by reversing the hypothesis and conclusion
of the conditional

Inverse - Answer: negating both the hypothesis and the conclusion of the conditional

Contrapositive - Answer: negating both the hypothesise and the conclusion of the
converse

Equivalent statements - Answer: statements that have the same truth value

Biconditional - Answer: a single true statement that combines a true conditional and its
true converse.

Proof - Answer: a convincing argument that uses deductive reasoning

Two-column proof - Answer: lists each statement on the left and the justification on the
right

Theorem - Answer: a conjecture or statement that you prove true

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