Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, 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 ≥ 3?

Back

Draw a number line, place a closed circle on 3, and shade to the right.

Front

How do you graph the inequality b < -2?

Back

Draw a number line, place an open circle on -2, and shade to the left.

Front

What does the inequality 2.5 ≤ x represent on a graph?

Back

It represents all values of x that are greater than or equal to 2.5.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

How do you represent the inequality p < 2 on a number line?

Back

Draw a number line, place an open circle on 2, and shade to the left.

Front

What does the graph of x < 3 look like?

Back

It has an open circle at 3 and shading to the left.

Front

What does the inequality b ≥ -2 indicate?

Back

It indicates that b can be -2 or any number greater than -2.