Question

(a) consider the following statement. i am in geometry class. check all the statements below that are negations of this statement. o i am not in geometry class. o it is not the case that i am in geometry class. o i am in physics class. (b) consider the following conditional statement. if the sign is on the table, then the store is closed. what is the hypothesis of this statement? o the sign is under the table. o it is not true that the sign is under the table. o the sign is on the table. o the table is on the sign. o the store is closed.

Explanation:

Step1: Understand Conditional Statements

A conditional statement is in the form "If \(p\), then \(q\)" where \(p\) is the hypothesis and \(q\) is the conclusion.

Step2: Analyze Part (a)

The statement is "If I am in geometry class, then...". The hypothesis is the part after "If". So for the negation of "I am in geometry class", we check the options. The negation of "I am in geometry class" is "I am not in geometry class".

Step3: Analyze Part (b)

The conditional statement is "If the sign is on the table, then the store is closed". The hypothesis is the part after "If", which is "the sign is on the table".

Answer:

(a) I am not in geometry class.
(b) The sign is on the table.