Final answer:
To solve the inequality 9 + 6x > -5, subtract 9 from both sides and divide by 6 to isolate x. The solution is x > -2.33, so the correct answer is a. x > -2.
Step-by-step explanation:
To solve the inequality 9 + 6x > -5, we need to isolate x on one side of the equation. First, subtract 9 from both sides to get 6x > -14. Then, divide both sides by 6 to get x > -14/6. Simplifying further, we have x > -7/3. This can be written as x > -2.33 (rounded to two decimal places).
Therefore, the values of x that are solutions to the inequality are greater than -2.33. So, the correct answer is a. x > -2.