Inequalities Word Problems #1

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

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left can be greater than or equal to the value on the right.

Front

How do you represent a situation where a total cost must be less than a certain amount?

Back

You can represent it using an inequality, such as 'cost < maximum amount'.

Front

What is the first step in solving an inequality?

Back

The first step 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

You use an open circle for '<' or '>' and a closed circle for '≤' or '≥', then shade the appropriate side of the circle.

Front

What is a real-world example of an inequality?

Back

A real-world example is budgeting: if you have $100 to spend, you can represent your spending as 'total cost ≤ 100'.

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 or less than the other.

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.