Question

Which inequality is true when the value of d is 14?

Answer 1

Answer:

-d - 9 < 1.5

Step-by-step explanation:

In this problem, my reasoning is shown below for each individual inequality. We can test each one to see if it is true or not.

$-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?$

-23 is not greater than 1.5, so it can't be the first one. Let's try the next one.

$-(14)-9$

Yes! -23 is smaller than 1.5. So we can say that the second option is correct. But just for good measure, we can try the other two.

$-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?$

Nope! -23 is not greater than 1.5. Let's try the last one.

$14-9$

And again... nope. 5 is not smaller than -1.5. So our reigning option is -d - 9 < 1.5. Hopefully this was helpful! If you have any more questions, let me know.