Inequalities Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

How do you represent 'at least' in an inequality?

Back

The phrase 'at least' is represented by the symbol '≥' in an inequality.

Front

What does a closed circle on a number line indicate?

Back

A closed circle indicates that the number is included in the solution set, meaning the value can be equal to that number.

Front

What does an open circle on a number line indicate?

Back

An open circle indicates that the number is not included in the solution set, meaning the value cannot be equal to that number.

Front

How would you write the inequality for 'Marcos wants to spend at least $80 on new shoes and has saved $25'?

Back

X + 25 ≥ 80.

Front

What is the solution to the inequality x + 32 ≥ 80?

Back

x ≥ 48.

Front

If y > -3, what does this mean in terms of y's possible values?

Back

y can be any value greater than -3, but not equal to -3.

Front

Which inequality represents 'Janine's goal is to earn at least $80 for soccer camp. She has earned $32 so far.'?

Back

x + 32 ≥ 80.