Question

1. Identify the hypothesis and conclusion of this conditional statement: "If it rains, then I will not play golf."
A. Hypothesis: "It rains." Conclusion: "I will not play golf."
B. Hypothesis: "It does not rain." Conclusion: "I will play golf."
C. Hypothesis: "I will not play golf." Conclusion: "It rains."
D. Hypothesis: "I will not." Conclusion: "Play golf."
2. Choose the conditional statement that is equivalent to this sentence: "Tigers have stripes."
A. If an animal has stripes, then it is a tiger.
B. If tigers have stripes, then zebras have stripes.
C. If an animal is a tiger, then it has stripes.
D. If an animal is not a tiger, then it does not have stripes.
3. Choose the statement that is the converse of this conditional: "If the weather is sunny, then I feel better."
A. If the weather is not sunny, then I do not feel better.
B. If the weather is not sunny, then I feel better.
C. If I do not feel better, then the weather is not sunny.
D. If I feel better, then the weather is sunny.
4. Choose the statement that is true and has a converse that is also true.
A. If the equation of a line is y=3x+2, then the slope of the line is 3.
B. If x2=100, then x=10.
C. If x−1=8, then x=9.
D. If an angle measures 45 degrees, then the angle is acute.
5. Assume that the city of Dallas is in the state of Texas. Which statement is definitely NOT true?
A. If Alan lives in Dallas, then Alan lives in Texas.
B. If Alan does not live in Dallas, then Alan lives in Texas.
C. If Alan does not live in Dallas, then Alan does not live in Texas.
D. If Alan lives in Dallas, then Alan does not live in Texas.

Answer 1

I have numbered the questions #1-5 for convenience sake

Answer 2

1. the hypothesis is the statement following the "if" part and the conclusion is the part following the "then part
2. the original statement is "tigers have stripes". you have to be careful with how you translate this to an if-then statement. for example, A) can be eliminated because not all striped animals are tigers. go through the other statements and see which one is an accurate re-statement of the original claim
3. for converse you switch the "if" and "then parts
4. find the converse of each statement, then compare the statements and their converses to see if both are still true
for example, eliminate A because the converse would be
"if the slope of the line is 3, then the equation is y = 3x + 2" which is untrue.
5. go through the statements and think about which one must be untrue given the original statement

lmk if you need to clarify something or just want to check your solution