Question

1. -3x > 3

Explanation:

Step1: Isolate x by dividing by -3

When dividing an inequality by a negative number, reverse the inequality sign.
$\frac{-3x}{-3} < \frac{3}{-3}$

Step2: Simplify both sides

Calculate the division to find the range of x.
$x < -1$

Step3: Graph the solution on the number line

• Place an open circle at $x=-1$ (since $x$ cannot equal -1)
• Draw an arrow pointing left from -1 to represent all values less than -1.

Answer:

$x < -1$
(Graph: Open circle at -1, arrow extending left along the number line)