What is the solution to this inequality?

Question

-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

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 2

IS THE EQUANITY FLIPPED OR THE SAME

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 \(>\)).