Question

step 4: lets check!
\\(\frac{x}{3} > 6\\)
step 5: represent on the number line!
(number line with 0, 2, 4, 6, 8, 10, 12, 14, 16, 18 marked)
sd curriculum 2025-2026

Explanation:

Step1: Isolate $x$ by multiplying both sides by 3

$\frac{x}{3} \times 3 > 6 \times 3$

Step2: Simplify to find the solution

$x > 18$

Step3: Represent on number line

1. Locate 18 on the number line.
2. Draw an open circle at 18 (since 18 is not included in the solution).
3. Draw an arrow pointing to the right from the open circle to show all numbers greater than 18.

Answer:

The solution to the inequality is $x > 18$. On the number line, this is represented by an open circle at 18 and an arrow extending to the right.