10. Solve this inequality: 8z + 3 – 2z < 51
A. z < 14
B. z < 9
C. z < 8
D. z < 5.4
8z + 3 - 2z < 51
6z + 3 - < 51
- 3 - 3
6z/6 < 48/6
z < 8
Am I correct?
Yes. Correct.
Yes, you are correct. The solution to the inequality 8z + 3 - 2z < 51 is z < 8. Your steps to solve the inequality are also accurate. Here's a breakdown of the steps:
1. Start with the given inequality: 8z + 3 - 2z < 51.
2. Combine like terms on the left side: 6z + 3 < 51.
3. Subtract 3 from both sides to isolate the term with z: 6z < 48.
4. Divide both sides by 6 to solve for z: z < 8.
Therefore, the correct answer is C. z < 8.