Answer as a compound inequality: ![-4 \le y < 2](https://tex.z-dn.net/?f=-4%20%5Cle%20y%20%3C%202)
Answer in interval notation: [-4, 2)
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Explanation:
The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.
The lowest point occurs when y = -4. We include this value. So far we have
which is the same as ![-4 \le y](https://tex.z-dn.net/?f=-4%20%5Cle%20y)
The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that ![y < 2](https://tex.z-dn.net/?f=y%20%3C%202)
Combine
and
to get the compound inequality ![-4 \le y < 2](https://tex.z-dn.net/?f=-4%20%5Cle%20y%20%3C%202)
This says y is between -4 and 2, including -4 but excluding 2.
To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.
6.50x+2.50y = total
with x = # of movie tickets
with y= # of bags of popcorn
3 miles per hour. Theres 4 hours between 9 am and 12 and another 6 from 1to 6.so ten hours. then 12.8 plus 17.8 thats 30 then 30 divided by ten is 3 miles per hour. Your welcome :)