Graphing Inequalities

Front

What is an inequality?

Back

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

Front

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

Back

The symbol '>' means 'greater than'. For example, 6 > x means 6 is greater than x.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, r ≥ -6 means r is greater than or equal to -6.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 5 means x is less than or equal to 5.

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

How do you graph the inequality x ≥ 4?

Back

To graph x ≥ 4, draw a number line, place a closed circle on 4, and shade to the right.

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 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 ≥ 4).