Writing Inequalities

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 or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you represent a situation where a total cost must not exceed a certain amount?

Back

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

Front

If Monica and Rachel have $30 and spend $8 on lattes, how much do they have left for muffins?

Back

They have $30 - $8 = $22 left for muffins.

Front

If muffins cost $2 each, how do you express the maximum number of muffins they can buy?

Back

Let m be the number of muffins. The inequality is 2m ≤ 22.

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 values of the variable that make the inequality true.

Front

How do you graph an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate side.

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.