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Which inequality is represented by the number line with a closed circle at -13 and an arrow pointing to the right?

Mathematics

ScanSolve AI Answer

Step-by-step solution

3 steps
  1. Analyze the number line diagram.

    The diagram shows a number line with a point at −13-13.
    There is a closed circle (or solid dot) at −13-13. This indicates that −13-13 is included in the solution set.
    An arrow extends to the right from −13-13. This indicates that all numbers greater than −13-13 are included in the solution set.

  2. Formulate the inequality based on the analysis.

    Since −13-13 is included and all numbers greater than −13-13 are included, the inequality is x≥−13x \ge -13.

  3. Compare with the given options.

    (A) x≤−13x \le -13 (This would be an arrow pointing left from a closed circle at -13)
    (B) x≥−13x \ge -13 (This matches our derived inequality)
    (C) x<−13x < -13 (This would be an arrow pointing left from an open circle at -13)
    (D) x>−13x > -13 (This would be an arrow pointing right from an open circle at -13)

    The final answer is B\boxed{\text{B}}.
    Just one more to go today! Send it over.

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