Graphing Inequalities

Front

What does a closed circle on a number line indicate when graphing inequalities?

Back

A closed circle indicates that the number is included in the solution set (e.g., x ≤ 5).

Front

What does an open circle on a number line indicate when graphing inequalities?

Back

An open circle indicates that the number is not included in the solution set (e.g., x < 5).

Front

How do you graph the inequality x ≥ 3 on a number line?

Back

Draw a closed circle at 3 and shade to the right.

Front

How do you graph the inequality x < 2 on a number line?

Back

Draw an open circle at 2 and shade to the left.

Front

What is the inequality represented by the number line with an open circle at -1 and shading to the left?

Back

x < -1.

Front

What is the inequality represented by the number line with a closed circle at 4 and shading to the right?

Back

x ≥ 4.

Front

What does the inequality 5 ≥ x mean in terms of graphing?

Back

It means x is less than or equal to 5, represented by a closed circle at 5 and shading to the left.

Front

If the inequality is n ≤ -2, how would you graph it?

Back

Draw a closed circle at -2 and shade to the left.

Front

What is the difference between the inequalities x < 3 and x ≤ 3?

Back

x < 3 uses an open circle at 3, while x ≤ 3 uses a closed circle at 3.

Front

What does the inequality x > 0 represent on a number line?

Back

It represents all numbers greater than 0, shown with an open circle at 0 and shading to the right.