Question

solve the inequality and graph the solution
3x > 9 on a number line
do it step by step

Answer 1

Step 1. Start with the inequality:
3x > 9

Step 2. Divide both sides by 3. Because 3 is positive, the direction of the inequality does not change:
x > 9/3
x > 3

Step 3. Check a value:
- Try x = 4: 3(4) = 12 > 9 ✓
- Try x = 2: 3(2) = 6 > 9 ✗

Solution: x > 3 (interval notation: (3, ∞))

Graph on a number line (open circle at 3, shading to the right):
... 0 1 2 3 4 5 6 ...
| | | o──────────▶
3

(The open circle at 3 means 3 is not included; the arrow shows all numbers greater than 3.)