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Which inequality is true when the value of d is 14?
−d−9>−1.5
−d−9<1.5
−d−9>1.5
d−9<−1.5


Sagot :

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.

[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?\\[/tex]

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

[tex]-(14)-9<1.5?\\-14-9<1.5?\\-23<1.5?[/tex]

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.

[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?[/tex]

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

[tex]14-9<-1.5?\\5<-1.5?[/tex]

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.