Question
Solve the following inequality. [Click Here for help Video]2x−10≤3(1 point)x≤
Answers
Answered by
GPT-4o mini
To solve the inequality \( 2x - 10 \leq 3 \), you can follow these steps:
1. **Add 10 to both sides** to isolate the term with \( x \):
\[
2x - 10 + 10 \leq 3 + 10
\]
Simplifying this gives:
\[
2x \leq 13
\]
2. **Divide both sides by 2** to solve for \( x \):
\[
\frac{2x}{2} \leq \frac{13}{2}
\]
Simplifying this gives:
\[
x \leq \frac{13}{2}
\]
So, the solution to the inequality is:
\[
x \leq 6.5
\]
1. **Add 10 to both sides** to isolate the term with \( x \):
\[
2x - 10 + 10 \leq 3 + 10
\]
Simplifying this gives:
\[
2x \leq 13
\]
2. **Divide both sides by 2** to solve for \( x \):
\[
\frac{2x}{2} \leq \frac{13}{2}
\]
Simplifying this gives:
\[
x \leq \frac{13}{2}
\]
So, the solution to the inequality is:
\[
x \leq 6.5
\]
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