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

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you graph the inequality x < 3?

Back

Draw a number line, place an open circle on 3, and shade to the left.

Front

How do you graph the inequality x ≥ -2?

Back

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

Front

What does it mean if a circle is colored in on a graph?

Back

It means that the number at that point is included in the solution set (for ≥ or ≤ inequalities).

Front

What does it mean if a circle is open on a graph?

Back

It means that the number at that point is not included in the solution set (for < or > inequalities).

Front

What is the solution set of the inequality x > 5?

Back

The solution set includes all numbers greater than 5.

Front

How do you write the inequality represented by the graph with a closed circle at 4 and shading to the right?

Back

The inequality is x ≥ 4.

Front

What is the solution set of the inequality -3 ≤ x < 2?

Back

The solution set includes all numbers from -3 to 2, including -3 but not including 2.