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 person has at least a certain amount of money?

Back

You use the '≥' symbol. For example, if someone has at least $250, it is represented as m ≥ 250.

Front

How do you represent a situation where a person can spend at most a certain amount?

Back

You use the '≤' symbol. For example, if someone can spend at most $100, it is represented as s ≤ 100.

Front

What inequality represents the situation: 'You spent 14 minutes practicing and need to practice at least 45 minutes'?

Back

x + 14 ≥ 45.

Front

What inequality represents the situation: 'The band practice will be less than 45 minutes long'?

Back

p < 45.

Front

If a person has $2,000 and spends $637 on a ticket, how can we express how much they can spend on other things?

Back

The inequality is 637 + x ≤ 2000.

Front

What is the first step in solving an inequality?

Back

Isolate the variable on one side of the inequality.

Front

What does it mean to solve an inequality?

Back

To find all possible values of the variable that make the inequality true.