Questions: Determine whether the statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The notation bla means that b is divisible by a. Choose the correct answer below. A. The statement is true. B. The statement is false. This is the notation for the greatest common factor. C. The statement is false. To make the statement true, change "b/a" to "b/a". D. The statement is false. To make the statement true, change " b is divisible by a " to " a is divisible by b ".

Solution Steps

To determine whether the statement is true or false, we need to understand the notation and its meaning. The statement claims that "bla" means "$b$ is divisible by $a$". In mathematical notation, "$b$ is divisible by $a$" is typically written as $b \mod a = 0$, meaning that when $b$ is divided by $a$, the remainder is zero. The statement seems to be incorrect as it stands, so we need to identify the correct interpretation or notation that matches the given description.

The statement claims that the notation "bla" means that \( b \) is divisible by \( a \). In mathematical terms, \( b \) is divisible by \( a \) if and only if \( b \mod a = 0 \).

Given the example values \( b = 10 \) and \( a = 2 \), we check if \( 10 \mod 2 = 0 \). Since the remainder is indeed 0, \( 10 \) is divisible by \( 2 \).

The statement "bla means that \( b \) is divisible by \( a \)" is incorrect as it stands. The correct interpretation should be that "bla" means \( a \) divides \( b \), or \( a \mid b \).

The correct choice is the one that identifies the error in the statement and provides the correct interpretation. The statement is false, and the correct interpretation is that "bla" should mean \( a \mid b \).

Final Answer