Final answer:
To find the largest whole number value of n that makes the inequality (1)/(3)+(n)/(7)<1 true, subtract (1)/(3) from both sides and simplify the inequality. The largest whole number value of n is 4.
Step-by-step explanation:
To find the largest whole number value of n that makes the inequality (1)/(3)+(n)/(7)<1 true, we can start by subtracting (1)/(3) from both sides of the inequality:
(n)/(7) < 1 - (1)/(3)
Simplifying the right side of the inequality, we get:
(n)/(7) < (2)/(3)
To solve for n, we can multiply both sides of the inequality by 7:
n < (2)/(3) * 7
n < (14)/(3)
The largest whole number value of n that satisfies the inequality is 4. So, n = 4.