Question

in each part below, write an inequality to represent the given statement. then graph the inequality on the number line. (a) the mass of a fossil is between 3 kilograms and 12 kilograms, exclusive. use m for the mass in kilograms. inequality: 3 < m < 12 graph:

Explanation:

Step1: Interpret the statement

The mass $m$ is strictly between 3 and 12, so $m$ is greater than 3 and less than 12.

Step2: Write the inequality

$3 < m < 12$

Step3: Graph on number - line

On the number - line, we use open circles at 3 and 12 (because the values 3 and 12 are not included) and draw a line segment between them.

Answer:

Inequality: $3 < m < 12$; Graph: Use open circles at 3 and 12 on the number - line and draw a line segment between them.