Question

writing and graphing inequalities given in context
for 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 13 kilograms, exclusive. use m for the mass in kilograms.
inequality:
graph:

Explanation:

Step1: Analyze the inequality

The mass \(m\) is between \(3\) and \(13\), exclusive. This means \(m\) is greater than \(3\) and less than \(13\).

Step2: Write the inequality

The inequality is \(3 < m < 13\).

Answer:

Inequality: \(3 < m < 13\)

To graph \(3 < m < 13\) on the number line:

• Draw an open circle at \(3\) (because \(m\) is not equal to \(3\)).
• Draw an open circle at \(13\) (because \(m\) is not equal to \(13\)).
• Connect the two open circles with a line segment.