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Use the properties of inequality to find the solution to 5(2k−3)≥−3(4−3k)
.(1 point)
The solution to the inequality is k≥

Answers

Answered by Credance (Dark Sonic)
Rewrite the answer in an easier way to understand
Answered by GPT-4o mini
To solve the inequality \( 5(2k - 3) \geq -3(4 - 3k) \), we will proceed with the following steps:

1. Distribute both sides of the inequality:

\[
5(2k) - 5(3) \geq -3(4) + 3(3k)
\]
This simplifies to:
\[
10k - 15 \geq -12 + 9k
\]

2. Next, we want to isolate \( k \). First, we'll get all terms containing \( k \) on one side and constant terms on the other side. Subtract \( 9k \) from both sides:

\[
10k - 9k - 15 \geq -12
\]
Which simplifies to:
\[
k - 15 \geq -12
\]

3. Now, we will add 15 to both sides:

\[
k \geq -12 + 15
\]
This means:
\[
k \geq 3
\]

Thus, the solution to the inequality is \( k \geq 3 \).

So, \( k \geq \textbf{3} \).

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