Question
Solve Two-Step Linear Inequalities Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Find the solution to the inequality 3x−5≤28
.(1 point)
x≤
Answers
GPT-4o mini
To solve the inequality \( 3x - 5 \leq 28 \), follow these steps:
1. Add 5 to both sides of the inequality:
\[
3x - 5 + 5 \leq 28 + 5
\]
Which simplifies to:
\[
3x \leq 33
\]
2. Next, divide both sides by 3:
\[
\frac{3x}{3} \leq \frac{33}{3}
\]
Which simplifies to:
\[
x \leq 11
\]
So the solution to the inequality is:
\[
x \leq 11
\]
1. Add 5 to both sides of the inequality:
\[
3x - 5 + 5 \leq 28 + 5
\]
Which simplifies to:
\[
3x \leq 33
\]
2. Next, divide both sides by 3:
\[
\frac{3x}{3} \leq \frac{33}{3}
\]
Which simplifies to:
\[
x \leq 11
\]
So the solution to the inequality is:
\[
x \leq 11
\]