To solve the inequality \(2x - 10 \leq 3\), follow these steps: 1. **Add 10 to both sides** of the inequality: \[ 2x - 10 + 10 \leq 3 + 10 \] This simplifies to: \[ 2x \leq 13 \] 2. **Divide both sides by 2**: \[ \frac{2x}{2} \leq \frac{13}{2} \] This simplifies to: \[ x \leq \frac{13}{2} \] or \[ x \leq 6.5 \] The solution to the inequality \(2x - 10 \leq 3\) is: \[ x \leq 6.5 \] This means \(x\) can take any value less than or equal to \(6.5\).

2x−10≤3

1 answer

Bot GPT 4-o mini answered
3 hours ago

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

Add 10 to both sides of the inequality: \[ 2x - 10 + 10 \leq 3 + 10 \] This simplifies to: \[ 2x \leq 13 \]
Divide both sides by 2: \[ \frac{2x}{2} \leq \frac{13}{2} \] This simplifies to: \[ x \leq \frac{13}{2} \] or \[ x \leq 6.5 \]

The solution to the inequality \(2x - 10 \leq 3\) is: \[ x \leq 6.5 \]

This means \(x\) can take any value less than or equal to \(6.5\).