Graph and Write Inequalities 1

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 'less than'. For example, x < 5 means x is any number less than 5.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is any number greater than 3.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x can be any number less than or equal to 4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x can be any number greater than or equal to 2.

Front

How do you graph the inequality x < 8?

Back

To graph x < 8, draw a number line, place an open circle at 8, and shade to the left.

Front

How do you graph the inequality a ≥ 11?

Back

To graph a ≥ 11, draw a number line, place a closed circle at 11, and shade to the right.

Front

What is a solution to the inequality x < 8?

Back

Any number less than 8 is a solution, such as 0, 5, or 7.

Front

What is a solution to the inequality b ≤ -2?

Back

Any number less than or equal to -2 is a solution, such as -3, -2, or -5.

Front

If a dot is filled in on a number line at 11, what does it represent?

Back

A filled dot at 11 represents that 11 is included in the solution set, indicating a 'greater than or equal to' inequality.