Basic 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 in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, y < 10 means y is less than 10.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, z ≥ 3 means z is greater than or equal to 3.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, a ≤ 7 means a is less than or equal to 7.

Front

How do you represent 'all items cost more than $10' in inequality form?

Back

i > 10.

Front

What does a closed dot on a number line indicate when graphing inequalities?

Back

A closed dot indicates that the number is included in the solution, used for ≤ or ≥.

Front

What does an open dot on a number line indicate when graphing inequalities?

Back

An open dot indicates that the number is not included in the solution, used for < or >.

Front

How would you graph the inequality r ≥ -6?

Back

You would place a closed dot at -6 and shade to the right.

Front

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

Back

p < 45.