Graphing Inequalities

Front

What does the inequality x ≥ 3 represent on a number line?

Back

It represents all numbers greater than or equal to 3, including 3 itself, shown with a closed circle at 3 and shading to the right.

Front

How do you represent the inequality 2 > p on a number line?

Back

You would graph it with an open circle at 2 and shade to the left, indicating all numbers less than 2.

Front

What does the inequality x ≥ -5 indicate about the values of x?

Back

It indicates that x can be any number greater than or equal to -5, including -5 itself.

Front

When graphing the inequality x < 3, what type of circle is used?

Back

An open circle is used to indicate that 3 is not included in the solution set.

Front

How would you graph the inequality -2 ≥ n?

Back

You would use a closed circle at -2 and shade to the left, indicating all numbers less than or equal to -2.

Front

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

Back

A closed circle indicates that the number is included in the solution (≥ or ≤), while an open circle indicates that the number is not included (< or >).

Front

What does the inequality p ≤ 4 mean in terms of p's possible values?

Back

It means p can be any number less than or equal to 4.

Front

How do you graph the inequality x > -1?

Back

You would use an open circle at -1 and shade to the right, indicating all numbers greater than -1.

Front

What is the graphical representation of the inequality n < 0?

Back

You would use an open circle at 0 and shade to the left, indicating all negative numbers.

Front

What does the inequality x ≤ 5 signify?

Back

It signifies that x can be any number less than or equal to 5, including 5 itself.