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

When graphing the inequality x ≤ -2, what type of circle is used?

Back

A closed circle is used to indicate that -2 is included in the solution.

Front

When graphing the inequality b < 6, what type of circle is used?

Back

An open circle is used to indicate that 6 is not included in the solution.

Front

What does the inequality x > 5 represent on a number line?

Back

It represents all numbers greater than 5, starting from just above 5 and extending to the right.

Front

How do you graph the inequality -2 ≥ n?

Back

You would graph it with a closed circle at -2 and shade to the left, indicating all numbers less than or equal to -2.

Front

What does the inequality 2.75 < d mean?

Back

It means that d can be any number greater than 2.75.

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 do you represent the inequality x ≤ -2 OR x > 5 on a number line?

Back

You would use a closed circle at -2 and shade to the left, and an open circle at 5 and shade to the right.