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Which number line represents the solution set for the inequality -\frac{1}{2}x \geq 4?

Which number line represents the solution set for the inequality -\frac{1}{2}x \geq 4?

Answer

To solve the inequality -\frac{1}{2}x \geq 4, first multiply both sides by -2 to isolate x. Remember to reverse the inequality sign when multiplying by a negative number:

  1. -\frac{1}{2}x \geq 4
  2. x \leq -8

The correct number line should show x \leq -8, which is represented by a line extending to the left from -8 with a closed circle at -8.

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