Answer :

[tex] \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[/tex]

Answer:

Number is greater than or equal to 15.

Step-by-step explanation:

Let number be x

Quotient of number and 3 = [tex]\frac{x}{3}[/tex]

4 more than [tex]\frac{x}{3}[/tex]= 4+[tex]\frac{x}{3}[/tex]

4+[tex]\frac{x}{3}[/tex] is at least 9

4+[tex]\frac{x}{3}[/tex]≥9

Simplifying it ,we get

[tex]\frac{x}{3}[/tex]≥9-4

[tex]\frac{x}{3}[/tex]≥5

x ≥ 5(3)

x≥15

Number needs to be greater than or equal to 15