Graphing Inequalities

Front

What is an open circle used for in graphing inequalities?

Back

An open circle is used to indicate that the number is not included in the solution (e.g., for inequalities like x < 6).

Front

What is a closed circle used for in graphing inequalities?

Back

A closed circle is used to indicate that the number is included in the solution (e.g., for inequalities like x ≤ 6).

Front

What does the inequality x > 2 represent on a number line?

Back

It represents all numbers greater than 2, with an open circle at 2 and shading to the right.

Front

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

Back

It represents all numbers less than or equal to -3, with a closed circle at -3 and shading to the left.

Front

How do you graph the inequality -2 ≤ x ≤ 5?

Back

You place a closed circle at -2 and 5, shading the region between them.

Front

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

Back

It indicates all numbers less than 3, with an open circle at 3 and shading to the left.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' means both conditions must be true, while 'or' means at least one condition must be true.

Front

How would you graph the inequality x > 2 or x ≤ -3?

Back

You would shade to the right of 2 with an open circle at 2 and shade to the left of -3 with a closed circle at -3.

Front

What does the inequality -2 ≥ n mean?

Back

It means n can be any number less than or equal to -2, with a closed circle at -2.

Front

What is the purpose of graphing inequalities?

Back

Graphing inequalities visually represents the solution set of the inequality on a number line.