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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.
$\frac{x}{-3} < -1$
answer attempt 2 out of 2
inequality notation:
number line:

Explanation:

Step1: Multiply both sides by -3

Multiply each side by -3, reverse inequality sign:
$$\frac{x}{-3} \times (-3) > -1 \times (-3)$$

Step2: Simplify to solve for x

Calculate both sides:
$$x > 3$$

Answer:

Inequality Notation:

$x > 3$

Number Line:
  • Draw an open circle at 3 (since 3 is not included in the solution)
  • Draw an arrow pointing to the right from 3 (to represent all numbers greater than 3) on the provided number line.