Question

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

Answer 1

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