Question

solve the linear inequality.
-5x < -15
the solution set is \boxed{}. (type your answer in interval notation.)

Explanation:

Step1: Divide both sides by -5 (reverse inequality)

When dividing both sides of an inequality by a negative number, the direction of the inequality sign reverses. So, divide both sides of \(-5x < -15\) by \(-5\):
\(x > \frac{-15}{-5}\)

Step2: Simplify the right - hand side

Simplify \(\frac{-15}{-5}\) to get \(3\). So we have \(x > 3\).
In interval notation, the solution set for \(x > 3\) is \((3,+\infty)\).

Answer:

\((3, +\infty)\)