Intro to Inequalities

Front

What is an inequality?

Back

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

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'. For example, x > 10 means x is greater than 10.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 8 means x is less than or equal to 8.

Front

What does the symbol '≥' mean?

Back

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

Front

How do you graph the inequality x < 3?

Back

To graph x < 3, draw a number line, place an open circle at 3, 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 at 4, and shade to the right.

Front

What inequality represents 'at least 60'?

Back

The inequality that represents 'at least 60' is x ≥ 60.

Front

What inequality represents 'more than 100'?

Back

The inequality that represents 'more than 100' is x > 100.

Front

If x < 17, which direction does the arrow point on a graph?

Back

If x < 17, the arrow points to the left on a graph.