Question

What is the solution to this inequality?
-13х< 65
Isolate the variable x by
choose your answer...
to both sides of the inequality.
The inequality
choose your answer...
The final answer will be
choose your answer...

Answer 1

IS THE EQUANITY FLIPPED OR THE SAME

Answer 2

To solve the inequality \(-13x < 65\), you want to isolate the variable \(x\).

1. **Divide both sides of the inequality by -13**. Remember that when you divide or multiply both sides of an inequality by a negative number, you must flip the inequality sign.

\[
\frac{-13x}{-13} > \frac{65}{-13}
\]

2. This simplifies to:

\[
x > -5
\]

So, the complete solution process is:

- Isolate the variable \(x\) by **dividing by -13**.
- The inequality changes to \(x > -5\).
- The final answer will be **\(x > -5\)**.

Answer 3

When you divide or multiply both sides of an inequality by a negative number, the inequality sign is flipped.

In your example, starting with:

\[
-13x < 65
\]

When you divide both sides by \(-13\), the inequality must be flipped, resulting in:

\[
x > -5
\]

So to clarify:

- The inequality is flipped when dividing by \(-13\) (from \(<\) to \(>\)).