Question: 4. Reasoning Explain how the inequality \(-4^{\circ} \mathrm{C}>-9^{\circ} \mathrm{C}\)…

4. Reasoning Explain how the inequality \(-4^{\circ} \mathrm{C}>-9^{\circ} \mathrm{C}\) describes how the temperatures are related.

Solution

The inequality \( -4^\circ \text{C} > -9^\circ \text{C} \) compares two temperatures. This inequality tells us that \(-4^\circ \text{C}\) is warmer than \(-9^\circ \text{C}\). On the number line, \(-4\) is to the right of \(-9\), indicating a higher (warmer) temperature. Thus, the inequality describes that \(-4^\circ \text{C}\) is a greater temperature than \(-9^\circ \text{C}\), meaning it is less cold.