Graphing 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 '>' represent in an inequality?

Back

The symbol '>' means 'greater than'.

Front

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

Back

The symbol '<' means 'less than'.

Front

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

Back

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

Front

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

Back

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

Front

How do you represent the inequality 'x < 5' on a number line?

Back

You draw an open dot at 5 and shade to the left.

Front

How do you represent the inequality 'x ≤ 3' on a number line?

Back

You draw a closed dot at 3 and shade to the left.

Front

What is the difference between a closed dot and an open dot on a number line?

Back

A closed dot indicates that the number is included in the solution (≤ or ≥), while an open dot indicates that the number is not included (< or >).

Front

How do you graph the inequality 'r ≥ -6'?

Back

You draw a closed dot at -6 and shade to the right.

Front

What does the inequality 'x > 2' look like on a number line?

Back

You draw an open dot at 2 and shade to the right.