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4) the number line is shown with a ray starting from 0 (or near 0) and …

Question

  1. the number line is shown with a ray starting from 0 (or near 0) and extending to the left, covering -5, -4, -3, -2, -1, 0 (the marking points are -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10).

Explanation:

Response

To determine the inequality represented by the number line:

Step 1: Analyze the number line

The arrow points to the left (negative direction) and the circle at \( 0 \) is open (or in this case, a hollow dot, indicating \( 0 \) is not included).

Step 2: Interpret the direction and endpoint

A leftward arrow on a number line typically represents values less than the endpoint. Since the endpoint is \( 0 \) (not included, as the dot is hollow), the inequality is \( x < 0 \).

Answer:

The inequality represented is \( \boldsymbol{x < 0} \) (or all real numbers less than 0).