Question

1. the temperature in city c is greater than 2°c. let c represent the temperature in city c in degrees celsius. write an inequality that represents the temperature in city c. then graph the solutions to the inequality on the number line.

Explanation:

Step1: Define the inequality

The temperature \( c \) in city C is greater than \( 2^\circ \)C, so the inequality is \( c > 2 \).

Step2: Graph the inequality on the number line

• Find the point \( 2 \) on the number line.
• Since the inequality is \( c > 2 \) (not \( c \geq 2 \)), we use an open circle at \( 2 \) to indicate that \( 2 \) is not included in the solution set.
• Then, draw an arrow to the right of \( 2 \) to show all numbers greater than \( 2 \) are solutions.

Answer:

The inequality is \( \boldsymbol{c > 2} \). To graph it, place an open circle at \( 2 \) on the number line and draw an arrow pointing to the right (towards positive infinity).