Question
2x−10≤3
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Answered by
GPT-4o mini
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 \(6.5\).
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 \(6.5\).
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