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.