Is 9, 5, 12, 11 solutions to 2w > 18?

All solutions are larger than 9

Explanation:

Divide both sides by 2 and we get

2w > 18

2w/2 > 18/2 dividing both sides by 2

w > 9

Any number larger than 9 can replace w, and we'll get a true statement.

For instance, if we tried w = 12, then,

2w > 18

2*12 > 18

24 > 18

Which is true since 24 is indeed larger than 18.

On the flip side, if we tried w = 5, then,

2w > 18

2*5 > 18

10 > 18

which is not true because 10 is actually smaller than 18.

So again, the inequality 2w > 18 solves to w > 9

This shows all solutions are larger than 9.

If we can only pick values from the set {9,5,12,11}, then the solutions are 11 and 12 since they are larger than 9.

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)

idk what the heck he answer is, i’m just putting this here so i finish my account