Graphing Inequalities

Front

What type of circle is used when graphing the inequality b ≤ 6?

Back

A closed circle is used.

Front

What does the inequality k < 3 represent on a number line?

Back

It represents all numbers less than 3, with an open circle at 3.

Front

Provide an example of a solution to the inequality m < 25.

Back

m = -91 is a valid solution.

Front

How would you express the statement 'There are more than twenty students in the hallway' as an inequality?

Back

s > 20.

Front

What inequality does the number line graph with a closed circle at 3 and shading to the right represent?

Back

x ≥ 3.

Front

What is the difference between an open circle and a closed circle on a number line?

Back

An open circle indicates that the number is not included (e.g., <), while a closed circle indicates that the number is included (e.g., ≤).

Front

How do you graph the inequality x < 5 on a number line?

Back

Draw an open circle at 5 and shade to the left.

Front

What does the inequality y ≥ 2 signify in terms of graphing?

Back

It signifies that y can be 2 or any number greater than 2, represented by a closed circle at 2 and shading upwards.

Front

If a number line graph shows an open circle at -1 and shading to the left, what inequality does it represent?

Back

x < -1.

Front

What is the significance of the inequality symbol '≤'?

Back

It means 'less than or equal to', indicating that the value can be equal to the number.