Write and Graph 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?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

What does the symbol '<' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

How do you graph the inequality x > 1?

Back

To graph x > 1, draw a number line, place an open circle at 1, and shade to the right.

Front

How do you graph the inequality x ≥ 0?

Back

To graph x ≥ 0, draw a number line, place a closed circle at 0, and shade to the right.

Front

If only children four and under are allowed to play, what inequality represents this?

Back

The inequality is x ≤ 4, where x represents the age of the children.

Front

How do you graph the inequality a < 11?

Back

To graph a < 11, draw a number line, place an open circle at 11, and shade to the left.

Front

How do you graph the inequality a ≥ 11?

Back

To graph a ≥ 11, draw a number line, place a closed circle at 11, and shade to the right.