Question

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

Explanation:

Step1: Define the inequality

The temperature in city B (\(b\)) is less than \(2^\circ\)C. So the inequality is \(b < 2\).

Step2: Graph the inequality on the number line

• First, find the point \(2\) on the number line.
• Since the inequality is \(b < 2\) (not \(b\leq2\)), we use an open circle at \(2\) to indicate that \(2\) is not included in the solution set.
• Then, draw an arrow to the left of \(2\) to show all the numbers less than \(2\).

Answer:

The inequality is \(b < 2\). To graph it:

• Place an open circle at \(2\) on the number line.
• Draw an arrow pointing to the left from the open circle to represent all values of \(b\) that are less than \(2\).