Question

What is the solution to this inequality? x-6<-4
Isolate the variable x by
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to both sides of the inequality.
The inequality
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The final answer will be
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Answer 1

The inequality
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choose your answer...
will be flipped will remain the same

Answer 2

To solve the inequality \( x - 6 < -4 \), you need to isolate the variable \( x \).

1. **Add 6 to both sides of the inequality**:
\[
x - 6 + 6 < -4 + 6
\]
This simplifies to:
\[
x < 2
\]

The inequality is now isolated, and we can summarize the steps:

- You added 6 to both sides of the inequality.
- The resulting inequality is \( x < 2 \).

The final answer is:
\[
x < 2
\]

Answer 3

In this case, the inequality was \( x - 6 < -4 \), and when we added 6 to both sides, the direction of the inequality **remained the same**.

- We added 6 to both sides, which does not change the direction of the inequality.

So you can fill in your choices like this:

The inequality **will remain the same**.