Question

Solve the following inequality for k. Write your answer in simplest form.

4k + 2(3k + 8) <3k + 10 – 8

Answer 1

10k+16<3k+2

10k-3k+16<2

7k<2-16

k<-2

Answer 2

k < -2

Explanation:

Step 1: Write inequality

4k + 2(3k + 8) < 3k + 10 - 8

Step 2: Solve for k

1. Distribute: 4k + 6k + 16 < 3k + 10 - 8
2. Combine like terms: 10k + 16 < 3k + 2
3. Subtract 3k on both sides: 7k + 16 < 2
4. Subtract 16 on both sides: 7k < -14
5. Divide both sides by 7: k < -2