Question

1. identify the hypothesis and conclusion of each conditional.

a if you have the right to vote, then you are an american citizen.
b. if a figure has three sides, then it is a triangle.
c. if you want to get good grades, then you should study.

1. write each sentence as a conditional.

a. a point in the first quadrant has two positive coordinates.
b. memorial day in the united states falls on the fourth monday of may.

Explanation:

4.

A.

In a conditional statement “If \(p\), then \(q\)”, \(p\) is the hypothesis and \(q\) is the conclusion.
For “If you have the right to vote, then you are an American citizen”:

• Hypothesis (\(p\)): You have the right to vote.
• Conclusion (\(q\)): You are an American citizen.

For “If a figure has three sides, then it is a triangle”:

• Hypothesis (\(p\)): A figure has three sides.
• Conclusion (\(q\)): It is a triangle.

For “If you want to get good grades, then you should study”:

• Hypothesis (\(p\)): You want to get good grades.
• Conclusion (\(q\)): You should study.

5.

A.

Answer:

4.
A. Hypothesis: You have the right to vote; Conclusion: You are an American citizen.
B. Hypothesis: A figure has three sides; Conclusion: It is a triangle.
C. Hypothesis: You want to get good grades; Conclusion: You should study.
5.
A. If a point is in the first quadrant, then it has two positive coordinates.
B. If it is Memorial Day in the United States, then it falls on the fourth Monday of May.