Four more than the quotient of a number and three is at least nine
\(\frac{n}{3} + 4 \geq 9 \\ \frac{n}{3} + (4-4) \geq (9-4) \\ \frac{n}{3} \geq 5 \\ \frac{n}{3}(3) \geq 5(3) \\ n \geq 15\)
Answer:
Number is greater than or equal to 15.
Step-by-step explanation:
Let number be x
Quotient of number and 3 = \(\frac{x}{3}\)
4 more than \(\frac{x}{3}\)= 4+\(\frac{x}{3}\)
4+\(\frac{x}{3}\) is at least 9
4+\(\frac{x}{3}\)≥9
Simplifying it ,we get
\(\frac{x}{3}\)≥9-4
\(\frac{x}{3}\)≥5
x ≥ 5(3)
x≥15
Number needs to be greater than or equal to 15