Question

name: aayon.m
date: 09-09-25
per:
unit 2: logic & proof
homework 3: conditional statements
this is a 2-page document!
directions: identify the hypothesis and conclusion of the following conditional statements.

1. if the product of two numbers is 0, then at least one of the numbers must be 0.

hypothesis: the product of two numbers is 0
conclusion: at least one of the numbers must be 0.

1. if it is daylight saving time, then i must reset my clocks.

hypothesis: it is daylight saving time
conclusion: i must reset my clocks
directions: write the following statements in if-then form.

1. a rhombus is a quadrilateral with four congruent sides. if a rhombus is a quadrilateral then it has four congruent sides.
2. those that finish the marathon will get a medal. if you finish the marathon then you will get a medal.
3. all freshman are required to attend orientation. _______________

next part: write the inverse, converse, contrapositive, and biconditional of the conditional (partially visible)

Explanation:

Question 5 Solution:

Step1: Identify the condition and result

The statement is about freshmen and attending orientation. The condition is "a student is a freshman", the result is "the student is required to attend orientation".

Step2: Form the if - then statement

Using the condition as the hypothesis and the result as the conclusion, we write: If a student is a freshman, then the student is required to attend orientation.

Answer:

If a student is a freshman, then the student is required to attend orientation.