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

what is geq

Answer 2

To solve the inequality \( 5(2k - 3) \geq -3(4 - 3k) \), we can follow these 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. **Combine like terms**. Move all terms involving \( k \) to one side and constant terms to the other side:
\[
10k - 9k \geq -12 + 15
\]
This simplifies to:
\[
k \geq 3
\]

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

In conclusion, the answer is \( k \geq 3 \).

Answer 3

The notation "≥" (which can also be expressed as "geq") stands for "greater than or equal to." It is used in mathematical inequalities to indicate that one quantity is either greater than or equal to another quantity.

For example, if we say \( k \geq 3 \), it means that the value of \( k \) can be any number that is 3 or greater.