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 'x is no more than 13' in inequality form?

Back

x ≤ 13

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 (e.g., x < 35).

Front

What does a closed circle on a number line indicate?

Back

A closed circle indicates that the number is included in the solution (e.g., x ≤ 10).

Front

How do you represent 'You must spend at least $10' in inequality form?

Back

x ≥ 10

Front

What does the inequality 'x > 10' mean in a real-world context?

Back

It means that x must be greater than 10, such as spending more than $10.

Front

How would you graph the inequality 'The temperature is at most -1 degree'?

Back

You would use a closed circle at -1 and shade to the left.

Front

What is the difference between 'x < 10' and 'x ≤ 10'?

Back

x < 10 means x is less than 10 (not including 10), while x ≤ 10 means x is less than or equal to 10 (including 10).