Question

Solve the one-variable inequality −15x<−45
.(1 point)
Responses

x>3
x greater than 3

x>675
x greater than 675

x<3
x less than 3

x<−675

Answer 1

To solve the inequality \(-15x < -45\), we need to isolate \(x\). Here are the steps:

1. Divide both sides of the inequality by \(-15\). Remember that when you divide or multiply both sides of an inequality by a negative number, you must flip the inequality sign.

\[
x > \frac{-45}{-15}
\]

2. Calculate the right side:

\[
x > 3
\]

So the solution to the inequality is \(x > 3\).

Therefore, the correct response is:

**x > 3** (x greater than 3)