226k views
4 votes
Determine which integer makes the inequality 6(n − 5) < 3(n + 4) true. S:{11} S:{14} S:{30} S:{42}

User Seanyboy
by
9.1k points

1 Answer

4 votes

Answer:

S:{-3

Explanation:

To solve this inequality, we need to isolate the variable n on one side of the inequality. To do this, we can start by distributing the 3 on the right side of the inequality:

3(n + 4) = 3n + 12

Then we can subtract 3n from both sides to isolate n:

3(n + 4) - 3n = 3n + 12 - 3n

This simplifies to:

4n + 12 < 0

Then we can subtract 12 from both sides to isolate n:

4n < -12

Finally, we can divide both sides by 4 to find the value of n:

n < -3

User Sachin Chavan
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories