Inequalities Test Review

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

Front

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

Back

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

Front

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

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 in an inequality?

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 b < 16?

Back

You use an open circle at 16 and draw an arrow to the left, indicating all numbers less than 16.

Front

How do you graph the inequality w + 4 ≤ -5?

Back

First, solve for w: w ≤ -9. Then, use a closed dot at -9 and draw an arrow to the left.

Front

What is the solution to the inequality x - 3 > 8?

Back

The solution is x > 11.

Front

When do you use a closed dot on a graph of an inequality?

Back

You use a closed dot when the inequality includes ≤ or ≥, indicating that the endpoint is included.

Front

When do you use an open dot on a graph of an inequality?

Back

You use an open dot when the inequality uses < or >, indicating that the endpoint is not included.