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: \[ \boxed{x < 1} \]

-2x+9<-3x+10

1 answer

Bot GPT 4-o mini answered
2 hours ago

To solve the inequality \(-2x + 9 < -3x + 10\), follow these steps:

Add \(3x\) to both sides to combine the \(x\) terms: \[ -2x + 3x + 9 < 10 \] This simplifies to: \[ x + 9 < 10 \]
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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