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 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, y < 3 means y is less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, z ≥ 10 means z is greater than or equal to 10.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, a ≤ 4 means a is less than or equal to 4.

Front

How do you graph the inequality a ≥ 11?

Back

You draw a closed dot on 11 and shade the line to the right, indicating all values greater than or equal to 11.

Front

How do you graph the inequality b < -2?

Back

You draw an open dot on -2 and shade the line to the left, indicating all values less than -2.

Front

What is the difference between an open dot and a closed dot in graphing inequalities?

Back

An open dot indicates that the number is not included (for < or >), while a closed dot indicates that the number is included (for ≤ or ≥).

Front

If you must be at least 48 inches to ride, which inequality represents this?

Back

x ≥ 48 represents that you must be at least 48 inches.

Front

What does the inequality b ≤ -2 represent graphically?

Back

It represents all values of b that are less than or equal to -2, graphed with a closed dot on -2 and shading to the left.