Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, a > 5 means 'a is greater than 5'.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, b < 3 means 'b is less than 3'.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, c ≥ 4 means 'c is greater than or equal to 4'.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, d ≤ 2 means 'd is less than or equal to 2'.

Front

How do you graph the inequality x > 3?

Back

To graph x > 3, draw a number line, place an open circle on 3, and shade to the right.

Front

How do you graph the inequality x < -2?

Back

To graph x < -2, draw a number line, place an open circle on -2, and shade 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., x > 3), while a closed circle indicates that the number is included (e.g., x ≥ 3).

Front

How do you graph the inequality x ≥ 1?

Back

To graph x ≥ 1, draw a number line, place a closed circle on 1, and shade to the right.

Front

How do you graph the inequality y < 4?

Back

To graph y < 4, draw a horizontal line at y = 4, place an open circle on 4, and shade below the line.