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What is the largest whole number value of n that makes the following inequality true? (1)/(3)+(n)/(7)<1

User Copper
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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.

User Troyer
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