Question

Water is not a liquid if its temperature is above 100 °C or below 0 °C.

Answer 1

Answer:

$0 \leq x \leq 100$

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 $x$ to work.

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

Which is represented as $x\geq 0$, or $0\leq x$.

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

Which is represented as $x \leq 100$.

We can combine both inequalities into one, where $x$ is shared between the two. This creates $0\leq x \leq 100$.

Let's test each value of $x$ .

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!