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 'greater than or equal to'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

How do you graph the inequality x > 3?

Back

You draw a number line, place an open dot at 3, and shade to the right.

Front

How do you graph the inequality x ≤ 4?

Back

You draw a number line, place a closed dot at 4, and shade to the left.

Front

What does an open dot represent in graphing inequalities?

Back

An open dot represents that the number is not included in the solution (used for < or >).

Front

What does a closed dot represent in graphing inequalities?

Back

A closed dot represents that the number is included in the solution (used for ≤ or ≥).

Front

Which inequality is represented by the graph with a closed dot at -2 and shading to the right?

Back

The inequality is x ≥ -2.

Front

Which inequality is represented by the graph with an open dot at 5 and shading to the left?

Back

The inequality is x < 5.

Front

What is the solution set for the inequality x > 1?

Back

The solution set includes all numbers greater than 1.