Question

solve for x, then choose the correct graph.
$\frac{x - 2}{-3}<10$
(a)
<graph with arrow pointing left, -30, -29, -28, -27 marked, open - circle at - 28>
(b)
<graph with arrow pointing right, -28, -27, -26, -25 marked, open - circle at - 28>

Explanation:

Step1: Multiply both sides by -3

When multiplying an inequality by a negative number, the inequality sign flips. So we have $x - 2>10\times(- 3)$, which simplifies to $x - 2>-30$.

Step2: Add 2 to both sides

Adding 2 to both sides of the inequality $x - 2>-30$ gives $x>-30 + 2$, so $x>-28$.

Answer:

B. A number - line with an open - circle at - 28 and the arrow pointing to the right.