Equations and Inequalities Level 3

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

How do you represent a situation where a person has a limited amount of money to spend?

Back

You can represent this situation using an inequality that shows the total amount spent must be less than or equal to the available money.

Front

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

Back

The symbol '>' means 'greater than' and indicates that the value on the left side of the inequality is larger than the value on the right side.

Front

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

Back

The symbol '≥' means 'greater than or equal to' and indicates that the value on the left side is either larger than or equal to the value on the right side.

Front

How can you express the total cost of multiple items in an inequality?

Back

You can express the total cost by multiplying the cost of one item by the number of items and setting it less than or equal to the total amount available.

Front

What is the first step in solving an inequality?

Back

The first step in solving an inequality is to isolate the variable on one side of the inequality.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all possible values of the variable that make the inequality true.

Front

How do you graph an inequality on a number line?

Back

To graph an inequality on a number line, use an open circle for '>' or '<' and a closed circle for '≥' or '≤', then shade the appropriate direction.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

How do you interpret the solution of an inequality?

Back

The solution of an inequality represents a range of values that satisfy the condition set by the inequality.