Multiple Choice Question

Question

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

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

To analyze the situation based on 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 evaluate the statements. The problem seems to ask for specific values related to A and C, potentially as variables. Since no specific values are given with the letters indicating rational numbers, we can interpret the statements based on their likely intent.

1. A: The value of (A) is positive. (A = -6, so this is false)
2. B: The value of (C) is positive. (C = 2, so this is true)
3. C: The value of (A) is negative. (A = -6, so this is true)
4. D: The value of (C) is negative. (C = 2, so this is false)

Based on the above reasoning, the true statements are:

• B (The value of C is positive)
• C (The value of A is negative)

Since the question asks for a singular true statement without giving clear context on which variable the options refer to:

• If A refers to point A, then statement C is true.
• If A refers to point C, then statement B is true.

However, if we need to select based on the typical context:

The most straightforward conclusion is:

C. The value of A is negative.