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QUESTION IMAGE

solve for $x$ and graph the solution on the number line below. $\frac{x…

Question

solve for $x$ and graph the solution on the number line below.
$\frac{x}{-2} < 0$
answer attempt 2 out of 2
$< > \leq \geq$ or
inequality notation:
number line:

Explanation:

Step1: Multiply both sides by -2

$\frac{x}{-2} \times (-2) > 0 \times (-2)$
Note: Inequality sign flips when multiplying by a negative number.

Step2: Simplify both sides

$x > 0$

Answer:

Inequality Notation: $x > 0$

For the number line:

  • Draw an open circle at 0 (since the inequality does not include equality)
  • Shade the region to the right of 0 (all values greater than 0)