One step Inequality Practice

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality 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 4 or any number less than 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 2 or any number greater than 2.

Front

How do you solve the inequality p - 3 > -8?

Back

Add 3 to both sides: p > -5.

Front

What is the solution set for the inequality x < 8?

Back

The solution set includes all numbers less than 8, such as 7, 6, 0, -1, etc.

Front

How do you graph the inequality x ≥ 3?

Back

Draw a number line, place a closed dot on 3, and shade to the right to indicate all numbers greater than or equal to 3.

Front

What is the inequality that represents the situation: 'The room can hold a maximum of 400 people, and there are already 134 people there'?

Back

The inequality is x + 134 ≤ 400, where x is the number of additional people.

Front

When graphing an inequality, what does an open dot represent?

Back

An open dot represents that the number is not included in the solution set, used for '<' or '>'.