Question

pick the correct letter for: 6 > x

Explanation:

Step1: Analyze the inequality \(6 > x\)

This inequality means \(x\) is less than 6. On a number line, we represent this with an open or closed circle at 6 and an arrow pointing to the left (since we want values less than 6). Since the inequality is strict (\(>\), not \(\geq\)), we use an open circle.

Step2: Evaluate the number lines

• Option A: The arrow is pointing to the left with a closed circle at 6. A closed circle would represent \(x\leq6\), so this is incorrect.
• Option B: The arrow is pointing to the left with an open circle at 6. This represents \(x < 6\) (which is the same as \(6 > x\)), so this is correct.
• Option C: The arrow is pointing to the right with a closed circle at 6. This represents \(x\geq6\), incorrect.
• Option D: The arrow is pointing to the right with an open circle at 6. This represents \(x > 6\), incorrect.

Answer:

B. The number line with an open circle at 6 and an arrow pointing to the left (representing \(x < 6\) or \(6 > x\))