Final answer:
The inequality y > 1.5 is solved by identifying that options A (y > 1.6) and D (y > 2) are both correct because the values 1.6 and 2 are greater than 1.5.
Step-by-step explanation:
The solution to the inequality y > 1.5 can be determined by examining the given options.
To solve the inequality y > 1.5 + A, we want to isolate y on one side of the inequality sign. First, subtract A from both sides to get y > 1.5 - A. The inequality sign remains the same because we didn't multiply or divide by a negative number. So, the correct answer is y > 1.5 - A.
- A. y > 1.6 is a valid solution as 1.6 is greater than 1.5.
- B. y < − 2.5 is not a solution because negative values cannot be greater than positive ones.
- C. y < 2 is not a solution as values less than 2 can be less than 1.5.
- D. y > 2 is a valid solution as 2 is indeed greater than 1.5.
In this case, options A and D are both correct solutions for the inequality y > 1.5.