Answer:
y + 8 > 0.5
Step-by-step explanation:
Let's take a look at each one individually to see whether y = 9 is a possible value for the inequality. First, we'll check out y + 8 < 0.5. If we replace y with 9, we get 9 + 8 < 0.5. 9 plus 8 is 17, so now we have 17 < 0.5. That's not true, because 17 is not smaller than 0.5. So we know that this option is incorrect.
Next, let's look at -y + 8 > 0.5. We replace y with 9 and get -9 + 8 > 0.5, or -1 > 0.5. This isn't true either! -1 is <em>smaller</em> than 0.5, not greater. So this isn't the option either.
We'll now look at y + 8 > 0.5. If we replace y with 9, we get 9 + 8 > 0.5 or 17 > 0.5. This is true, so we can be confident that this is the correct answer! Let's just test the last answer for good measure though.
Is -9 + 8 greater than -0.5? Well, -9 plus 8 is equal to -1, and -1 is <em>not</em> greater than -0.5. So we were correct. y + 8 > 0.5 is true when the value of y is 9.
