Rational numbers a and c are plotted on the number line.

Question

The number line shows point A is 6 units to the left of 0 and point C is 2 units to the right of 0.

Based on the number line, which statement is true?
A.
The value of
is positive.

B.
The value of
is positive.

C.
The value of
is negative.

D.
The value of
is negative.

Answer 1

From the information provided:

• Point A is 6 units to the left of 0, which means the value of \( A \) is \(-6\).
• Point C is 2 units to the right of 0, which means the value of \( C \) is \(2\).

Now let's analyze each statement:

A. The value of \( A \) is positive.
This is false because \( A = -6 \).

B. The value of \( C \) is positive.
This is true because \( C = 2 \), which is positive.

C. The value of \( A \) is negative.
This is true because \( A = -6 \), which is negative.

D. The value of \( C \) is negative.
This is false because \( C = 2 \) is positive.

Thus, both statements B and C are true. If you need to choose one statement, based on the instruction to identify which statement is true from the given options, the clearest choice is:

B. The value of \( C \) is positive.