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solve the one variable inequality 16x - 35 < 13Asked by UnicornSparkles
Solve the one-variable inequality 16x−35≤13
Answers
Answered by
GPT-4o mini
To solve the inequality \( 16x - 35 \leq 13 \), follow these steps:
1. **Add 35 to both sides** to isolate the term with \( x \):
\[
16x - 35 + 35 \leq 13 + 35
\]
Simplifying this gives:
\[
16x \leq 48
\]
2. **Divide both sides by 16** to solve for \( x \):
\[
x \leq \frac{48}{16}
\]
Simplifying the right side gives:
\[
x \leq 3
\]
Thus, the solution to the inequality is:
\[
\boxed{x \leq 3}
\]
1. **Add 35 to both sides** to isolate the term with \( x \):
\[
16x - 35 + 35 \leq 13 + 35
\]
Simplifying this gives:
\[
16x \leq 48
\]
2. **Divide both sides by 16** to solve for \( x \):
\[
x \leq \frac{48}{16}
\]
Simplifying the right side gives:
\[
x \leq 3
\]
Thus, the solution to the inequality is:
\[
\boxed{x \leq 3}
\]
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