Water is not a liquid if its temperature is above 100 °C or below 0 °C. 0
40
80
120
160
Write a compound inequality to show the levels that are within the range described
above.

0, 40, and 80 are the values that work for this compound inequality.

Step-by-step explanation:

To create a compound inequality, we have to examine the conditions for to work.

Since can not be below 0° C, that means that must be greater than or equal to 0.

Which is represented as , or .

Since can not be above 100° C, that means must be less than 100.

Which is represented as .

We can combine both inequalities into one, where is shared between the two. This creates .

Let's test each value of .

0 is equal to 0 and less than 100, so it works.

40 is greater  than 0 and less than 100, so it works.

80 is greater  than 0 and less than 100, so it works.

120 is greater  than 0 and greater than 100, so it doesn't work.

160 is greater  than 0 and greater than 100, so it doesn't work.

Hope this helped!

step-by-step explanation:

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1