Question

solve and graph the following inequality: $\frac{x}{3}-4 < - 2$

Explanation:

Step1: Add 4 to both sides

$\frac{x}{3}-4 + 4< - 2+4$
$\frac{x}{3}<2$

Step2: Multiply both sides by 3

$\frac{x}{3}\times3<2\times3$
$x < 6$

The graph of the inequality $x < 6$ is a number - line with an open circle at 6 (since 6 is not included in the solution set) and an arrow pointing to the left.

Answer:

The solution of the inequality is $x < 6$, and the correct graph is the first one (with an open - circle at 6 and the arrow pointing to the left).