If 5 times a number n is subtracted from 15, the result is negative. Which of the following gives the possible value(s) for n?

A. 0 only
B. 3 only
C. 10 only
D. All n is greater than 3
E. All n is less than 3

E. All n is less than 3

To find the possible value(s) for n, we can set up an equation based on the given information.

The equation is: 15 - 5n < 0

Now we can solve the equation for n:

15 - 5n < 0

Subtracting 15 from both sides:

-5n < -15

Dividing by -5 (remember to change the direction of the inequality when dividing by a negative number):

n > 3

This tells us that the value of n must be greater than 3.

Therefore, the correct answer is option D: All n is greater than 3.

To find the possible value(s) for n, we need to solve the equation "15 - 5n < 0". Let's go step by step:

1. Subtract 15 from both sides of the inequality to isolate the term "-5n":
-5n < -15

2. Divide both sides of the inequality by -5. Remember, when we divide an inequality by a negative number, we have to change the direction of the inequality sign:
n > 3

So, the inequality n > 3 represents the possible values for n. This means all n values that are greater than 3 are valid solutions.

Therefore, the correct answer is D. All n is greater than 3.