Question

solve the inequality and graph the solution
x/4 >3 on a number line
do it step by step

Answer 1

Step 1. Start with the inequality:
x/4 > 3

Step 2. Multiply both sides by 4 (positive, so the inequality direction stays the same):
x/4 · 4 > 3 · 4
x > 12

Step 3. Check a value: for x = 13, 13/4 = 3.25 > 3 (works). For x = 12, 12/4 = 3 (not greater), so 12 is not included.

Solution: x > 12. In interval notation: (12, ∞).

Number line (open circle at 12, arrow to the right):
... ————o====================>
12

(The open circle at 12 means 12 is not included; the shaded line to the right shows all numbers greater than 12.)