Question

(c) on the number line below, graph the solution that represents the possible numbers of dollars milan will spend on fabric (b) find the possible numbers of dollars milan will spend on fabric. write your answer as an inequality solved for x. ( x geq 12 )

Explanation:

Step1: Understand the inequality

The inequality given is \( x \geq 12 \). This means we need to represent all real numbers greater than or equal to 12 on the number line.

Step2: Locate 12 on the number line

Find the position of 12 on the provided number line. The number line has marks at 1, 2, ..., 20, so 12 is one of the marked points.

Step3: Determine the type of dot and direction

Since the inequality is \( \geq \) (greater than or equal to), we use a closed (filled) dot at 12 to indicate that 12 is included in the solution set. Then, we draw an arrow to the right of 12 to show that all numbers greater than 12 are also included.

Answer:

To graph \( x \geq 12 \) on the number line:

1. Find the point labeled 12.
2. Place a closed (filled) dot at 12 (because \( x \) can be equal to 12).
3. Draw an arrow starting from the closed dot at 12 and extending to the right (towards 13, 14, 15, ...) to represent all numbers greater than 12.