How would I mark the numberline?

-4 < x ≤ 1.5

Step-by-step explanation:

First we will need to determine what signs to use for our inequality:

According to the picture, we have one of each

So we need to write an equality for each point and then combine them

The first inequality will be x > -4 because here the shading is "pointing" to the right just as the inequality sign >

The second inequality will be x ≤ 1.5 because here the shading is "pointing" to the left just as the inequality sign ≤

Now to combine, we arrange the two number values that we have from least to greatest with the smallest number being on the leftmost side of the inequality and the larger number being on the rightmost side of the inequality.

Then we put x in the middle and add the signs that we have

So our complete inequality will read -4 < x ≤ 1.5

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.