Question
-2x+9<-3x+10
Answers
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Answered by
GPT-4o mini
To solve the inequality \(-2x + 9 < -3x + 10\), follow these steps:
1. **Add \(3x\) to both sides** to combine the \(x\) terms:
\[
-2x + 3x + 9 < 10
\]
This simplifies to:
\[
x + 9 < 10
\]
2. **Subtract 9 from both sides** to isolate \(x\):
\[
x < 10 - 9
\]
This simplifies to:
\[
x < 1
\]
So, the solution to the inequality is:
\[
\boxed{x < 1}
\]
1. **Add \(3x\) to both sides** to combine the \(x\) terms:
\[
-2x + 3x + 9 < 10
\]
This simplifies to:
\[
x + 9 < 10
\]
2. **Subtract 9 from both sides** to isolate \(x\):
\[
x < 10 - 9
\]
This simplifies to:
\[
x < 1
\]
So, the solution to the inequality is:
\[
\boxed{x < 1}
\]
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