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 be less than a certain amount?

Back

You can represent it using an inequality, such as x + y < total amount.

Front

If a person has a certain amount of money and wants to spend no more than that, how would you write this as an inequality?

Back

You would write it as: amount spent ≤ total 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

How do you solve the inequality 3x + 5 ≤ 20?

Back

Subtract 5 from both sides: 3x ≤ 15, then divide by 3: x ≤ 5.

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 another.

Front

How do you graph the inequality x > 3 on a number line?

Back

Draw an open circle at 3 and shade to the right to indicate all numbers greater than 3.

Front

What does it mean if a solution to an inequality is a range of values?

Back

It means that there are multiple solutions that satisfy the inequality.