Introduction to Inequalities & Graphing Inequalities(assignment)

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 in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is either greater than 4 or equal to 4.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is either less than 2 or equal to 2.

Front

How do you graph the inequality x > 5?

Back

To graph x > 5, draw a number line, place an open circle on 5, and shade to the right.

Front

How do you graph the inequality x ≥ 3?

Back

To graph x ≥ 3, draw a number line, place a closed circle on 3, and shade to the right.

Front

What does the graph of b ≤ -2 look like?

Back

The graph of b ≤ -2 has a closed circle on -2 and shades to the left.

Front

How do you determine which graph represents r ≥ -6?

Back

Look for a graph with a closed circle on -6 and shading to the right.

Front

What is the difference between an open circle and a closed circle on a graph?

Back

An open circle indicates that the number is not included (e.g., x > 5), while a closed circle indicates that the number is included (e.g., x ≥ 5).