Question

question 3 (5 points)
listen
which of the following is a conditional statement?
a) if alex studies for the geometry exam, then he will pass.
b) alex often fails geometry exams, but he passed this one.
c) alex studies for geometry exams, and he often passes.
d) either alex goes to track practice, or he studies for the geometry exam.
question 4 (5 points)
listen
if x = 2 and 2 = a, which of the following statements is true according to the transitive property?
a) 2x = a
b) x = a
c) x = 2a
d) x = a - 2

Explanation:

Question 3

A conditional statement has the form "If \( p \), then \( q \)", where \( p \) is the hypothesis and \( q \) is the conclusion. Option A follows this "If - then" structure. Option B is a conjunction with "but" (a type of and - statement), Option C is a conjunction with "and", and Option D is a disjunction with "either - or".

Question 4

Step1: Recall the transitive property

The transitive property states that if \( a = b \) and \( b = c \), then \( a = c \).

Step2: Apply the property to given values

We are given \( x = 2 \) and \( 2 = a \). Using the transitive property (where \( x \) is like \( a \), \( 2 \) is like \( b \), and \( a \) is like \( c \) in the general property), we can conclude that \( x = a \).

Answer:

A) If Alex studies for the geometry exam, then he will pass.