Question

Solve the inequality.
1. -4n greater than or equal to 14

Answer 1

To solve the inequality \(-4n \geq 14\), we will isolate \(n\).

1. Start by dividing both sides by \(-4\). Remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign.

\[
n \leq \frac{14}{-4}
\]

2. Simplify \(\frac{14}{-4}\):

\[
n \leq -\frac{14}{4} = -\frac{7}{2} = -3.5
\]

So, the solution to the inequality is:

\[
n \leq -3.5
\]

This means that \(n\) can be any number less than or equal to \(-3.5\).