Question

Solving Linear Inequalities Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
2 of 52 of 5 Items

Question
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≥

Answer 1

To solve the inequality \(5(2k - 3) \geq -3(4 - 3k)\), we will follow these steps:

1. Distribute both sides of the inequality:
\[
10k - 15 \geq -12 + 9k
\]

2. Move all terms involving \(k\) to one side and constant terms to the other side:
\[
10k - 9k \geq -12 + 15
\]
This simplifies to:
\[
k \geq 3
\]

Thus, the solution to the inequality is:
\[
k \geq 3
\]