Questions: Question 21, 3.1.59 HW Score: 95.24%, 20 of 21 points Points: 0 of 1
The bar graph shows the percentage of college students in different countries willing to marry without romantic love. Use the graph to determine whether the following statement is true or false. If the statement is false, write its negation. A minority of college students in Country B are willing to marry without romantic love.
Is the statement true or false? A. True B. False; its negation is "Some college students in Country B are not willing to marry without romantic love C. False; its negation is "Not all college students in Country B are willing to marry without romantic love." D. False; its negation is "Some college students in Country B are willing to marry without romantic love."
Transcript text: Question 21, 3.1.59
HW Score: $95.24 \%, 20$ of 21 points
Points: 0 of 1
The bar graph shows the percentage of college students in different countries willing to marry without romantic love. Use the graph to determine whether the following statement is true or false. If the statement is false, write its negation. A minority of college students in Country B are willing to marry without romantic love.
Is the statement true or false?
A. True
B. False; its negation is "Some college students in Country B are not willing to marry without romantic love
C. False; its negation is "Not all college students in Country B are willing to marry without romantic love."
D. False; its negation is "Some college students in Country B are willing to marry without romantic love."
Solution
Solution Steps
Step 1: Understand the Statement
The statement to evaluate is: "A minority of college students in Country B are willing to marry without romantic love."
Step 2: Analyze the Graph
Examine the bar graph to determine the percentage of college students in Country B who are willing to marry without romantic love.
Step 3: Determine the Truth Value
Compare the percentage of students in Country B to see if it constitutes a minority (less than 50%).
Step 4: Negation of the Statement
If the statement is false, identify its correct negation. The negation of "A minority of college students in Country B are willing to marry without romantic love" would be "A majority of college students in Country B are willing to marry without romantic love."
Final Answer
The statement is True. The negation would be "A majority of college students in Country B are willing to marry without romantic love."