Question

complete the following.
(a) consider the following statement.
rachel is in switzerland.
check all the statements below that are negations of this statement.
□ rachel is not in switzerland.
□ rachel is in england.
□ it is not the case that rachel is in switzerland.
(b) consider the following conditional statement.
if i am drawing a rectangle, then i am in geometry class.
what is the conclusion of this statement?
○ i am drawing a circle.
○ i am not drawing a circle.
○ i am not able to draw a rectangle.
○ i am in geometry class.
○ i am drawing a rectangle.

Explanation:

(a) The negation of a statement "Rachel is in Switzerland" is any statement that means she is not in Switzerland. "Rachel is not in Switzerland" and "It is not the case that Rachel is in Switzerland" clearly express this. Just stating she is in England doesn't fully negate her being in Switzerland as she could be in both at different times or it doesn't cover all non - Switzerland scenarios.
(b) In a conditional statement "If p, then q", q is the conclusion. Here, "If I am drawing a rectangle" is p and "I am in geometry class" is q.

Answer:

(a) Rachel is not in Switzerland., It is not the case that Rachel is in Switzerland.
(b) I am in geometry class.