Question

solve $\frac{x}{-3}-9 < -11$. graph the solution. the solution is .

Explanation:

Step1: Add 9 to both sides

$\frac{x}{-3}-9 + 9< - 11+9$
$\frac{x}{-3}<-2$

Step2: Multiply both sides by -3 and reverse the inequality sign

When multiplying or dividing an inequality by a negative number, the inequality sign flips. So $x>(-2)\times(-3)$
$x > 6$

Answer:

$x>6$; For the graph, you would use the open - circle (○) and the arrow pointing to the right (→) starting from 6 on the number line.