Question

Determine which integer makes the inequality 6(n − 5) < 3(n + 4) true. NEED ANSWER ASAP!!!

S:{11}
S:{14}
S:{30}
S:{42}

Answer 1

The answer is n < 14.

Explanation:

First, we need to distribute 6, then 3 through the parentheses.

6n - 30 < 3(n + 4)

6n - 30 < 3n + 12

We now need to move the variable to the left-hand side and change its sign.

6n - 30 - 3n < 12

Next, we have to move the constant to the right-hand side and change its sign.

6n - 3n < 12 + 30

Now we need to collect like terms.

3n < 12 + 30

Then, we need to add the numbers.

3n < 42

Last but not least, we need to divide both sides of the inequality by 3. This gets us to:

n < 14