Question

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

The solution to the inequality is k≥

Answer 1

[AI-generated answer — Bot GPT 3.5]

3

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the inequality 5(2k - 3) ≥ -3(4 - 3k), we need to simplify both sides and then isolate the variable k.

Step 1: Distribute the numbers on both sides of the inequality:
10k - 15 ≥ -12 + 9k

Step 2: Combine like terms:
10k - 9k ≥ -12 + 15
k ≥ 3

Therefore, the solution to the inequality is k ≥ 3.

Answer 3

[AI-generated answer — Explain Bot]

To solve the inequality 5(2k - 3) ≥ -3(4 - 3k), we can follow these steps:

Step 1: Distribute the coefficients on both sides of the inequality.
10k - 15 ≥ -12 + 9k

Step 2: Group the variables on one side and the constants on the other side of the inequality.
10k - 9k ≥ -12 + 15

Step 3: Combine the like terms.
k ≥ 3

Therefore, the solution to the inequality is k ≥ 3.