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?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you graph the inequality x < 4?

Back

Draw a number line, place an open circle at 4, and shade to the left.

Front

What does an open circle on a number line indicate?

Back

An open circle indicates that the number is not included in the solution (e.g., x < 4).

Front

What does a closed circle on a number line indicate?

Back

A closed circle indicates that the number is included in the solution (e.g., x ≤ 4).

Front

How do you graph the inequality x ≥ -2?

Back

Draw a number line, place a closed circle at -2, and shade to the right.

Front

What is the difference between 'AND' and 'OR' in inequalities?

Back

'AND' means both conditions must be true, while 'OR' means at least one condition must be true.

Front

How would you write an inequality for the graph that shows all numbers less than -4?

Back

x < -4.

Front

What inequality does the graph with a closed circle at 5 and shading to the right represent?

Back

x ≥ 5.