Writing and Graphing 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 solve the inequality x + 3 > 7?

Back

Subtract 3 from both sides: x > 4.

Front

What is the solution to the inequality k < 3?

Back

Any value of k that is less than 3, such as k = 2.

Front

How do you represent a minimum value in an inequality?

Back

Use the symbol '≥'. For example, if the minimum is 122, write x ≥ 122.

Front

How do you represent a situation where there are more than a certain number of items?

Back

Use the symbol '>'. For example, more than 20 students can be represented as s > 20.

Front

How do you represent a situation where there are less than a certain number of items?

Back

Use the symbol '<'. For example, less than 400 students can be represented as s < 400.