Graphing Inequalities

Front

What does the inequality s > 20 represent?

Back

It represents that the number of students (s) is greater than 20.

Front

When graphing the inequality b < 6, should you use an open or closed circle?

Back

You should use an open circle because the inequality does not include 6.

Front

What does the inequality 6 > x mean?

Back

It means that x is less than 6.

Front

How do you represent the inequality x ≤ 4 on a number line?

Back

You use a closed circle at 4 and shade to the left.

Front

What does the inequality x < -4 indicate on a number line?

Back

It indicates that x is less than -4, represented by an open circle at -4 and shading to the left.

Front

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

Back

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

Front

If a graph shows a line extending to the right from 3 with an open circle, what inequality does it represent?

Back

It represents x > 3.

Front

What does the inequality x ≥ -2 mean?

Back

It means that x is greater than or equal to -2.

Front

How would you graph the inequality -1 < x < 3?

Back

You would use open circles at -1 and 3 and shade between them.

Front

What does the inequality y ≤ 5 represent on a graph?

Back

It represents all values of y that are less than or equal to 5, with a closed circle at 5.