Part A CHEMISTRY Under standard almospheric conditions, water will not remain a liquid if its temperature is less than or equal to 0^circ C or if it is greater than or equal to 100^circ C Suppose you have a cup of water that is room temperature, or 20^circ C Write a compound inequality to represent the number recorees liquid. temperatire of the cup must change to no longer be A) 0leqslant 20-cleqslant 100 B) 0leqslant 20+cleqslant 100 C) 20+clt 0or20+cgt 100 D) 20+cleqslant 0or20+cgeqslant 100

## Step 1<br />The problem is asking us to write a compound inequality that represents the temperature change required for water to no longer remain a liquid. The temperature of the water must either be less than or equal to \(0^{\circ }C\) or greater than or equal to \(100^{\circ }C\).<br /><br />## Step 2<br />The current temperature of the water is \(20^{\circ }C\). To find the temperature change required, we need to add or subtract a certain amount from \(20^{\circ }C\).<br /><br />## Step 3<br />If the temperature is less than or equal to \(0^{\circ }C\), we need to subtract a certain amount from \(20^{\circ }C\). This can be represented as \(20 - c \leq 0\).<br /><br />## Step 4<br />If the temperature is greater than or equal to \(100^{\circ }C\), we need to add a certain amount to \(20^{\circ }C\). This can be represented as \(20 + c \geq 100\).<br /><br />## Step 5<br />Combining these two inequalities, we get the compound inequality \(20 - c \leq 0\) or \(20 + c \geq 100\).